3.08 Unit Test : Algebraic Sense

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Your regular pay of $67, plus tips, came up to $182.50. How much were the tips? Be sure to write you answer in dollars and cents

$115. 50

Name the ordered pair that point B represents in the graph

(2, 1)

Find the slope of the line between points A and B. Simplify your answer

-2

Solve for x : 3x + 18 - 7 = 41

10

Simplify 3(6-4)^2

12

Merill bought m CD's for $12.50 each and n greeting cards for $1.95 each. Which expression best shows how much she spent?

12.50m + 1.95n

Evaluate 3x - 2 if x = 5

13

Solve for x : 14 = 0.1x

140

Evaluate 3x - 2 if x = 6

16

Simplify 4^2

16

Translate the difference of 19 and n into symbols

19 - n

The proper sequence to use in solving 3x - 2 = 60 is :

add 2 and divide by 3

Is this statement true or false? -3 is a solution of y > -2

false

Is this statement true or false? 4 is a solution of x < -5

false

When solving a system of equations, you are finding the _______.

intersection point

Calculate the slope of points (-2,-1) and (3,4)

m = 1

To solve x/0.4 = 10, you would :

multiply 0.4

Which graph represents the inequality : -6 < x ≤ 2

option 2

Name the quadrant that point b lies in

quadrant III

Name the quadrant that point B lies in

quadrant IV

The graph shown represents an inequality. The solid line that forms the boundary tells you that _______.

the inequality has an equal sign in it

Is this statement true or false? Slope equals rise over run

true

Is this statement true or false? The point (5, -1) is a solution of the equation : y = 2x - 11

true

Is this statement true or false? y ≤ 3 includes 3 as a possible solution

true

Is this statement true or false? |-4| is a solution of x ≤ 4

true

Solve for x : 10x - 3 + x < 30

x < 3

Solve for the variable : x - 2.8 = 1.6

x = 4.4

Solve for the variable : 12.9 = x + 7.1

x = 5.8

Solve for x : -2x - 4 < 10

x > -7

Solve for x : x + 3 > 5

x > 2

Solve for x : 1/2x + 5 > 8

x > 6

Solve for x : -4 x > 5

x > 9

Write the given equation in slope-intercept form, y = mx+b by solving for y : 4x - 2y = 10

y = 2x - 5

Simplify : (18-8) divided by 5

2

Merill bought m notebooks for $2.50 each and n pens for $1.25 each. Which expression best shows how much he spent?

2.50m + 1.25n

Evaluate n^3 if n = 3

27

A carpet has a rectangular measure of 10 feet for the length and w feet for the width. If the perimeter is the sum of all four sides, then write an expression that represents the perimeter. Simplify

2w + 20

A farmer has a rectangular field, which measures 100 feet for length and w feet for the width. If the perimeter is the sum of all four sides of the field, what is an expression for the perimeter of the field? Simplify

2w + 200

The area of a circle is approximately 3.14 times the radius squared. Which of the following expressions is a correct way to write this, if the radius is x ?

3.14x^2

Translate five less than the product of three and m into symbols

3m - 5

Write an algebraic expression for the word phrase : the difference of 4 cubed and 'a'

4^3 - a

Art bought 4 boxes of pens, but gave his friend Ben 8 pens, and now has a total of 112 pens. How many are in a box? Which of the following is the best equation for the problem?

4x - 8 = 112

Translate 5 plus the quantity of 6 minus m into symbols

5 + (6-m)

Write the difference of 5 and x as a mathematical expression

5 - x

Solve for x : x/0.6 = 8.9

5.34

Translate the difference of five squared and n into symbols

5^2 - n

Write and algebraic expression for the word phrase : 8 less than the product of 6 and n

6n - 8

Simplify 2^3

8

Evaluate n^4 if n = 3

81

Solve for x : x/8 + 19 = 30

88


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