Algebra Test Review

Backpack $56.25. Discount 20%. Find the discounted price

$45.00

Dress $69 and tax is 5 %. Find the total price

$72.45

Use substitution to solve the system of equations: y = 4x and x + y = 5

(1, 4)

Use elimination to solve the system of equations: x + 4y = 11 and x − 6y = 11

(11, 0)

Use an augmented matrix to solve the system of equations: . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2x − y = 7 and −x + 3y = −11

(2, −3)

Factor 4x²− 25

(2x − 5)(2x + 5)

Use substitution to solve the system of equations: 3x − y = 4 and 2x − 3y = −9

(3, 5)

Factor the polynomial 9x² −3xy + 6x − 2y

(3x + 2)(3x− y)

Factor 16p² − 36

(4p − 6)(4p + 6)

Factor n² + 7n + 12

(n + 4)(n + 3)

Factor 2t² + 9t − 5

(t+ 5)(2t −1)

Fator 2x² + 5x + 2

(x + 2)(2x + 1)

Factor y² − 6y +8

(y − 2)(y − 4)

Use an augmented matrix to solve the system of equations: x + 4y = 19 and −3x − 2y= −7

(−1 , 5)

Solve using elimination: . . . . −3x −4y = −1 and 3x− y =−4

(−1, 1)

Solve the system of equations by graphing . . . . x + 3y = −3 and x − 3y = −3

(−3, 0)

Use elimination to solve the system of equations: 2x − y = −1 and 3x − 2y = 1

(−3,−5)

Solve using elimination: . . . . . . . . . . . . . . . . −3x −4y = −4 and x + 3y = −1

(−4, −2)

Solve the equation 2x(x − 3) = 0

0 and 3

Solve (4x + 7)/15 = (6x +2)/10

0.8

Express the number 158 X 10⁻⁷in scientific notation

1.58 X 10⁻⁵

Express 1,900,000 in scientific notation

1.9 X 10⁶

Look at problem 17 on page 176. You will see a graph. What is the slope of the graph?

1/2

Find the product (5a − 2)(2a − 3)

10a² − 19a + 6

Find 5m²(2m³ −m)

10m⁵ − 5m³

Write an algebraic expression for the product of ten and x

10x

Find three consecutive integers whose sum is 36

11, 12, 13

Evaluate 30 − 5 ∙ 4 + 2

12

Use the distributive property to factor 24x + 48y = 0

12(x + 2y)

Evaluate if a = 12, b = 9, c = 4 a² + b − c²

137

Simplify the expression. If not possible write simplified 3x + 2(4y + 5x)

13x + 8y

Evaluate if x = −1, y = 3, and z = −4. . . . . . . . |−3y + z| − x

14

Find the next three terms of the arithmetic sequence 22, 20, 18, 16 ...

14, 12, 10

Simplify the expression. If not possible write simplified 7(2x + 5)

14x + 35

Choc chip cookies sell for $6.95 and white choc cookies sell for $5.95 per lb. How many pounds of choc chip cookies must be mixed with 4 lbs of white choc cookies to obtain a mixture that sells for $6.75 per pound

16 pounds

Find the degree of the polynomial 2x² + 3x + 7

2

y = 2x The constant of variation is _________

2

y = 2x The slope is ____________

2

Evaluate and name the property used in each step 2 + 6(9− 3²) − 2

2 + 6 (9 − 9) − 2 (sub) . . . . . . . . . . . . . . . . . . . . 2 + 6(0) − 2 (sub) . . . . . . . . . . . . . . . . . . . . . . . . 2 + 0 − 2 (Mult prop of zero). . . . . .. . .. . . . .. . 2-2 (add iden). . . . . . . . . . . . . . . . . . . . . . . . . . . . 0 (sub) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

State the dimensions of the matrix and identify the circled element for problem #12 on page 372

2 X 5 The circled three is in the second row and first column

Factor the monomial completely 42g²h

2 ∙ 3 ∙ 7 ∙ g ∙ g ∙h

Factor 8m − 6

2(4m − 3)

Write an equation and solve. Twenty decreased by three times a number equals −10.

20 − 3x = −10 When the equation is solved, x = 10

Solve the proportion. . . . . . . . . 9/(y + 1) = 18/54

26

Find the volume of a cube whose length, width, and heighth have a measure of 3x⁵

27x¹⁵

Translate the sentence in to an equation. Twice a increased by the cube of a equals b

2a + a³ = b

f(x) = 2x − 4 Find f(k + 1)

2k − 2

Wriite and solve in inequality: Twice a number minus 4 is less than three times the nunmber.

2x − 4 < 3x {x | x > − 4}

Evaluate 162 ÷ [6(7 − 4)²]

3

In the equation y = 3x + 7, the slope is _______________

3

Solve by completing the square. Round to the nearest tenth if necessary x² − 8x + 15 = 0

3 and 5

Factor completely 3a² + 30a + 63

3(a + 7)(a + 3)

Write the equation in standard form: y − 11 = 3(x − 2)

3x − y = −5

Write 4 − x + 3x³ − 2x² in standard form and identify the leading coefficient

3x³ − 2x² −x + 4 The leading coefficient is 3

Evaluate 6²+ 3 ∙ 7 − 9

48

Find the GCF 40xy², 56x3y², 124x²y³

4xy²

Find the difference. (3x² − 7x + 5) − (−x² + 4x)

4x² − 11x + 5

Express 0.000000058 in scientific notation

5.8 X 10⁻⁸

Express the number 0,00005816 in scientific notation

5.816 X 10⁻⁵

Simplify (−4xy)³(−2x²)³

512x⁹y³

Evaluate if x = 2, y = 3, z = 4 2xyz + 5

53

Determine the next three terms in the geometric sequence 2, 6, 18 . . .

54, 162, 486

Find two consecutive even integers whose sum is 126.

62, 64

Find the degree of the polynomial 5x²y + 7xy⁶− 3xy

7

Find the solution set if the replacement set is x = {4, 5, 6, 7, 8} for the equation 5x − 9 = 26

7

In the equation y = 3x + 7, the y intercept is _______________

7

Find the next three terms of the arithmetic sequence 3.1, 4.1, 5.1, 6.1 ...

7.1, 8.1, 9.1

Find the degree of the polynomial 10x³y⁵

8

Solve the equation that follows 2(x + 2) =20

8

Write an algebraic expression for the sum of eight and the square of a number x

8 + x²

Find the GCF 88a³d, 40a²d², 32a²d

8a²d

Simplify the expression. If not possible, write simplified 3x + 6x

9x

Find the product (3x − 2)(3x + 2)

9x² − 12x + 4

²Simplify. Assume no denominator is equal to zero. (4x/3x²)−²

9x²/16

Find the product (3x − 1)²

9x²− 6x + 1

What is a geometric sequence?

A geometric sequence has a first term that is not zero and each term after the first is found by multiplying the previous term by a nonero constant

Explain the difference between an algebraic expression and a verbal expression.

Algebraic expression consists of numbers, variables, and arithmetic operations. Verbal expression consists of words.

Solve 3(x + 1) − 5 = 3x −2

All numbers

What is an arithmetic sequence?

An arithmetic sequence is a numerical pattern that increases or decreases at a constant rate called the common difference. The next term is found by adding the same positive or negative number to the preceding term.

Determine whether the sequence is arithmetic, geometric, or neither 1, −5 −11, −17 . . .

Arithmetic

Graph x ≤ 3 and ≥ −2

Closed circle on 3 and closed circle on negative two with shading between

Look at problem 11 on page 183. Name the constant of variation. What is the slope?

Constant of variation is −5 The slope is −5

Is the equation y = 300(.95)t exponential growth or decay

Decay

State whether the percent of change is a percent of increase or percent of decrease. Find the percent of change to the nearest whole percent. Original $25, New $10

Decrease of 60%

List the domain and the range for the following relation {(−2,−1), (3, 3), (4,3)}

Domain = {−2, 3, 4} Range = {−1, 3}

Is the equation y = 5ⁿ linear, quadratic, or exponential?

Exponential

Factor and solve 2x² + 7x + 3 = 0

Factors are (2x + 1)(x + 3) = 0 Solutions are −3 and −1/2

Factor and solve 25p² − 16 = 0

Factors are (5x − 4)(5x + 4) = 0 Solutions are 4/5 and −4/5

Factor and solve 5d² − 22d + 8 = 0

Factors are (d − 4)(5d − 2) = 0 Solutions are 4 and 2/5

Factor and solve h²− 17h = −60

Factors are (h − 12) (h − 5) = 0 Solutions are 5 and 12

Factor and solve p² + 5p − 84 = 0

Factors are (p + 12)(p − 7) = 0 Solutions are −12 and 7

Factor and solve x²− 16 = 0

Factors are (x − 4) (x + 4)) Solutions are 4 and −4

Solve the equation x² = 10x

Factors are x(x − 10) = 0 Solutions are 0 and 10

Perform the indicated matrix operations for problem #28 on page 374. If the matrix does not exist, write impossible.

First row of matrix −9 4 second row of matrix −3 67 This is a 2 X 2 matrix

Write a verbal expression for the algebraic expression 5(x² +2)

Five times the quantity x squared plus two

Is the equation y = 300(1.09)ⁿ exponential growth or decay

Growth

Identify the hypothesis and conclusion for the following relation: If it is Sunday, then mail is not delivered

Hypothesis: It is Sunday Conclusion: mail is not delivered

Subtract the two matrices for problem #18 on page 373. If the matrix does not exist write impossible

Impossible

Is the equation y = 1/2x + 5 linear, quadratic, or exponential?

Linear

Determine whether the lines are parallel, perpendicular, or neither: . . . . . . . . . . . . . . . . . 2x + 5y = 15 and 3x + 5y = 15

Neither

Determine whether each pair of ratios is an equivalent ratio. 5/9, 7/11

No because when you cross multiply, 55 is not equal to 63

Solve 3(x − 6) = 3x

No solution

Solve the system of equations by graphing: . . . y = 2x + 3 and 3y = 6x − 6

No solution

Determine whether the equation is linear or not. If yes, write the equation in standard form y = 3x² + 1

No, because the x is raised to a power greater than one

Determine whether the equation is linear or not. If yes, write the equation in standard form xy = 6

No, because variables are multiplied together

Is the following an arithmetic sequence 1, 4, 9, 16...

No. There is not a common difference.

Graph x > 3 or x ≤ 0

Open circle on three and shading to the right. Closed circle on zero and shading to the left.

Determine whether the lines are parallel, perpendicular, or neither: . . . . . . . . . . . . . . . . . y = −2x and 2x + y = 3

Parallel

Determine whether the lines are parallel, perpendicular, or neither: . . . . . . . . . . . . . . . . . 3x + 5y = 10 and 5x − 3y = −6

Perpendicular

Describe how you would graph y = 1/3 x + 2 using the slope and the y interept.

Put a dot on the y-axis on the number 2. Count a slope of 1/3 by going up 1 and right 3 or down 1 and left 3. Count the slope two or three times and then draw the line.

Sketch a graph that has a minimum at the point (4, −2) and has roots (or solutions) at 2 and 6

Put a point on the minimum of (4, −2) Put points on the x-axis on 2 and 6 and connect the parabola

Is the equation y = x² + 2x + 7 linear, quadratic or exponential?

Quadratic

Describe how the graph of the function is related to the graph of f(x) = x² g(x) = −2x²

Reflected over the x-axis and stretched vertically

Evaluate. Express in scientific and standard form (4.9 X 10−³)/(4.0 X 10−⁵)

Scientific 1.96 X 10−⁷and standar 0.000000196

Evaluate. Express in scientific and standard form (4.8 X 10⁴)(6 X 10⁶)

Scientific 2.88 X 10¹¹ and standard 288,000,000,000

Graph y > −2x + 1 and y ≤ x + 3

See how the graph should appear on page 382

Sketch a system of equations that has many solutions.

See the concept summary on page 333.

Sketch a system of equations that has no solution.

See the concept summary on page 333.

Sketch a system of equations that has one solution.

See the concept summary on page 333.

Solve the system of inequalities by graphing: 3x − y ≥ 2 and 3x − y < − 5

See the graph on page 383

Write a verbal expression for 6x + 7

Six times x plus seven

In the equation, y = mx + b, the m stands for _____________

Slope

What form should you put lines in to determine if they are parallel, perpendicular, or neither?

Slope intercept form

Graph 3x − y < 2

Solve the equation for y (slope intercept form) Graph the line with a dotted line. Check a point to see what side to shade. See a graph for this inequality on page 315

Graph x + 5y ≤ 10

Solve the equation for y (slope intercept form) Graph the line with a solid line. Check a point to see what side to shade. See a graph for this inequality on page 316

Graph y − x = 4 using a table

Solve the equation for y. y = x + 4. Some points on the line are (0, 4), (1, 5), (−1, 3)

Graph y = 3ⁿ

Some points are (0, 0), (1, 3), (2, 9), (−1, 1/3), (−2, 1/9) See the graph on page 567

Graph y = −6x

Some points on the line are (0, 0), (1, −6),(−1, 6) See page 181 for a picture of the graph

Graph y = 1/3 x + 2 using a table

Some points on the line are (0, 2),(3, 3), (6, 4). Check page 156 to see the graph.

Solve x² − 2x − 8 by graphing. What are the domain and range?

The axis of symmetry is 1. The vertex is (1, −9). Some points in the table may be (1, −9), (0, −8), (2, −8), (4, 0), (−2, 0) The solutions are 4 and −2. See the graph on page 537.Domain reals and range y ≥ −9

Solve x² + 6x + 8 = 0 by graphing and what are the domain and range.

The axis of symmetry is −3. The vertex is (−3,−1). Some points in the table may be (−3, −1), (−2, 0), (−4, 0), (−1, 3), (−5, 3) The solutions are − 4 and −2. Domain reals, Range y ≥ −1

Suppose y varies directly as x. Write a direct variation equation that relates x and y. Solve. If y = 7.5 when x = .5, find y when x = −0.3.

The equation is y = 15x. The value for y is −4.5

Suppose y varies directly as x. Write a direct variation equation that relates x and y. Then solve. If y = −4 when x = 2, find y when x = −6.

The equation is y = −2x. The value for y is 12

Write an equation for the nth term of the arithmetic sequence 7, 13, 19, 25 ...

The nth term = 6n + 1

Write an equation for the nth term of the arithmetic sequence 30, 26, 22, 18 ....

The nth term = −4n + 34

Sketch a quadratic equation that has no roots (solutions)

The parabola does not touch the x-axis. See page 537.

Sketch a quadratic equation that has one root (solution).

The parabola touches the x-axis at one point. See page 537

Sketch a quadratic equation that has two roots (solutions).

The parabola touches the x-axis at two points. See page 537

What is true about the slopes of perpendicular lines?

The product of slopes of perpendicular lines is −1. (Slopes of perpendicular lines are opposite reciprocals)

What is true about the slopes of parallel lines?

The slopes of parallel lines are the same

Write the equations for two lines that are parallel.

There are many answers. An example would by y = 2x and y = 2x + 7.

Write the equations for two lines that are perpendicular.

There are many answers. An example would by y = 2x and y = −1/2 x + 6. The product of the two slopes has to be −1

What is true about any horizontal line and a vertical line?

They are perpendicular

Describe how the graph of the function is related to the graph of f(x) = x² g(x) = x² + 9

Translates up 9

Translate the equation in to a sentence 2x + 10 = 26

Two times x plus ten equals twenty-six or the product of two and x increased by ten is twenty-six.

Find the slope of the line that passes through (5, 2) and (5, −2)

Undefined

Determine whether the equation is linear or not. If yes, write the equation in standard form y = 2 − 3x

Yes. 3x + y = 2

Solve 2(a − 3) = 3(−2a + 6)

a = 3

Solve the equation for the variable a listed . . . 7a − b = 15a for a

a = −b/8

Write an equation to find the nth term of the sequence −2, 10, −50... and then use the equation to find the eleventh term

a₁₁ = −2 ∙ (−5)ⁿ⁻¹ The eleventh term is −19,531,250

Solve h/3 = −2

h = − 6

Simplify m⁴r²/mr⁴

m³/r²

Find (n −4)(n − 6)

n² − 10n + 24

Write an equation and solve. X plus 10 is equal to 3 times x.

x + 10 = 3x When the equation is solved, x = 5

Write the equation in standard form: y − 10 = −(x − 2)

x + y = 12

Solve the equation 4x − 1 = 0

x = 1/4

Solve 2(4x + 3) + 2 = −4(x + 1)

x = −1

Write a compound inequality and solve: A number minus one is at most nine, or two times the number is at least twenty-four

x − 1 ≤ 9 or 2x ≥ 24 {x |x ≤ 10 or x ≥12}

Find the product (x + 9)²

x² + 18x + 81

Find the product (x − 7)(x + 5)

x² − 2x − 35

Simplify (x⁷)⁴

x²⁸

Simplify. Assume no denominator is equal to zero. (3x³y)²/27x²

x⁴y²/3

Simplify x³ ∙ x²

x⁵

Simplify x⁹/x²

x⁷

The point slope form of a linear equation is ________

y - y1 = m(x − x1)

$20,000 is invested at an interest rate of 5.2%. The interest is compounded quarterly. Write and evaluate an equation to determine how much money will be in the account in 10 years.

y = (20000)(1.013)⁴⁰ The amount would be $33528.01

Solve the equation for the variable indicated. 7x + 3y = m, for y

y = (m − 7x)/3

Given the point (1, 3) and (−3, −5), write the equation in slope intercept form

y = 2x + 1

The value of a new television depreciates by about 7% per year. You purchase a $3,000 TV. What is its value after 4 years. Write and solve an expontential equation to solve.

y = 3000(.93)⁴ In four years, the value of the TV is about $2244.16

Write an equation in slope intercept form for the line that passes through (−1, −2) and is parallel to 3x − y = 5.

y = 3x + 1

Write an equation in slope intercept form for the line that passes through (−2, 2) and is perpendicular to y = −1/3 x + 9.

y = 3x + 8

Which of the following equations is a direct variation equation? y = x + 2 or y = 3x

y = 3x because it is of the form y = kx

Write an equation in slope intercept form for the line that passes through (10, 5) and is perpendicular to 5x + 4y = 8.

y = 4/5x − 3

Given the point (1, 9) and the slope 4, write the equation in slope intercept form

y = 4x + 5

Write the equation in slope intercept form:. . . y + 2 = 4(x + 2)

y = 4x + 6

The slope intercept form of a linear equation is ____

y = mx + b

Write an equation in slope intercept form for the line that passes through (3, 2) and is parallel r to y = x + 5.

y = x − 1

Write the equation in slope intercept form: 2x + 4y = 12

y = −1/2x + 3

Look at the graph for problem #14 on page 218. What is the equation in slope intercept form?

y = −2 x + 3

Write the equation of the function that would translate the graph of x² over the x-axis, stretch it vertically by a factor of 2 and translate it down 3

y = −2x² − 3

Look at the graph for problem #34 on page 219. What is the equation in slope intercept form?

y = −4/7 x − 2

Given the point (2, 2) and m = −3, write the equation in point slope form

y − 2 = −3(x − 2)

Look at the graph for problem #40 on page 235. Write the equation in point slope form

y − 3 = 4(x − 1)

Given the point (−8, 5) and m = −2/5, write the equation in point slope form

y − 5 = −2/5(x + 8)

Look at the graph for problem #42 on page 235. Write the equation in point slope form

y − 7 = −4/3(x + 3)

Solve and graph |x − 4|< 4

{x | 0 < x < 8} The number line has an open circle on zero and an open circle on eight with shading between

Solve the compound inequality x − 5 < − 4 or x − 5 ≥ 1 Graph the compound inequality.

{x | x < 1 or x ≥ 6 The graph is an open circle on 1 and shading to the left and a closed circle on 6 and shading to the right.

Solve the inequality −2x + 4 > −6 Graph the inequality.

{x | x < 5} The graph is a number line with an open circle on 5 and shading to the left.

Solve −8x < −64

{x | x > 8}

Solve −8x − 3 < 18 − x

{x | x > − 3}

Solve and graph the inequality x − (−5) > −2

{x | x > − 7} The graph is a number line with an open circle on negative seven and shading to the right.

Solve x/6 ≤ 2

{x | x ≤ 12}

Solve 6x + 12 < 8 + 8x

{x | x> 2}

Solve the compound inequality 4 < x + 6 and x + 6 < 5 Graph the inequality

{x | −2 < x < −1 The graph is a number line with an open circle on negative two and an open circle on negative one and shading between

Solve −5 − x/6 ≥ −9

{x |x ≤ 24 }

Solve 2(x + 3) ≥ 16

{x |x ≥ 5}

Solve and graph the inequality x + 12 ≥ 8

{x |x ≥ − 4} The graph is a number line with a closed circle on negative four and shading to the right.

Solve and graph |x|< 3

{x |−3 < x < 3} Open circle on three and negative three with shading between

Solve 3x + 17 < 4x Graph the inequality

{x|x > 17} The graph is a number line with an open circle on 17 and shading to the right.

Solve x + 11 > 16 Graph the inequality.

{x|x > 5} The graph of the number line is an open circle on five and shading to the right.

Solve the equation. Show work. x/5 + 6 = 2

− 20

Factor the monomial completely −38a²b

−1 ∙ 2 ∙ 19 ∙ a ∙ a ∙ b

Simplify (−3ab⁴)³

−27a³b¹²

Find the difference. (3a − 5)) − (5a + 1)

−2a − 6

Simplify. Assume no denominator is equal to zero. −15 w⁰u−¹/5u³

−3/u⁴

Find the sum (−4p² − p + 9) + (p²+ 3p −1)

−3p²+ 2p + 8

Simplify: (2xy)²(−3x²)(4y⁴)

−48x⁴y⁶

Solve by using the quadratic formula. Round to the nearest tenth if necessary x² + 5x = 6

−6, 1

Solve by completing the square. Round to the nearest tenth if necessary x²+ 6x = 7

−7 and 1

Solve the equation by using the quadratic formula. Round to the nearest tenth if necessary x² + 8x + 7 = 0

−7 and −1

What point does every direct variation equation go through?

(0, 0)

Define slope

(y2 − y1)/(x2 − x1) Other definitions are rise/run and change in y/change in x

Find the slope of the line that passes through (6, 1) and (−6, 1)

0

Two trains leave Chicago, one traveling east at 30 miles per hour and one traveling west at 40 miles per hour. When will the trains be 210 miles apart?

3 hours

Translate the sentence in to an equation. Three times the sum of g and h is 12.

3(g + h) = 12

Find the solution set if the replacement set is x = {0. 1/2, 1, 3/2, 2} for the equation 120 − 28x = 78

3/2

Find three consecutive odd integers whose sum is 117

37, 39, 41

Simplify the expression. If not possible, write simplified 5x + 4 + 3x² − 3x

3x² + 2x + 4

Evaluate the expression 5 raised to the fourth

625

Solve the equation 15x −30 = 5x − 50 by graphing and algebraically

Graph f(x) = 10x + 20 and it crosses the x-axis at − 2. Solve 10x + 20 and x = −2

f(x) = x² + 3 Find f(b) + 4

b² + 7

Look at the graph for problem #7 on page 198. Write an equation for the graph in function notation

f(x) = 3x − 2

Look at the graph for problem #3 on page 198. Write an equation for the graph in function notation

f(x) = −x + 3

Solve −2m = 16

m = −8

Find the value for n and name the property used: 7 + n = 7

n = 0 Additive identity

Find the value for n and name the property 5 · n · 2 = 0

n = 0 multiplication property of zero

Find the value for n and name the property used: 11· n = 11

n = 1 Multiplicative identity

Find the value of n and name the property used: 3 · 1/3 = n

n = 1 Multiplicative inverse or reciprocal

Find the value of r so the line that passes through each pair of points has the given slope. (r, 3), (5, 9), m = 2

r = 2

Find the value of r so the line that passes through each pair of points has the given slope. (−4, 3)), (r, 5), m= 1/4

r = 4

Solve the equation 0 = 4 − 2x

x = 2

Solve 5(x + 3)+9= 3(x − 2) + 6

x = −12

Solve 3.2x − 4.3 = 12.6x + 14.5

x = −2

Solve 18 − 4x = 42

x = −6

Graph 2x + 4y = 16 using x an y intercepts

x intercept is 8, and the y intercept is 4. See page 155 and 156 to check the work and graph

Graph 2x + y = −2 using the x and y intercepts

x intercept is −1 and the y intercept is −2

What is the general equation for a direct variation equation?

y = kx

Look at the graph for problem #12 on page 218. What is the equation in slope intercept form?

y = −1/5 x + 1

In the equation, y = mx + b, the b stands for _____________

y-intercept

Solve the equation. Show work. |5y − 2| = 7

−1, 9/5

Find the slope of the line that passes through (10, 0) and (−2, 4)

−1/3

f(x) = 2x − 4 Find the value of f(−5)

−14

Solve 2/3 n + 8 = 1/3 n + 2

−18

In the equation y = −2x − 6, the slope is ________________

−2

Look at problem 16 on page 176. You will see a graph. What is the slope of the graph?

−4/3

Solve −x/3 − 4 = 13

−51

In the equation, y = −2x − 6, the y intercept is _____________

−6

Solve |x + 1| = 5

−6 and 4