Algebra 1- Midterm Exam Review

(Rewrite to solve, ^ means exponent) u^-5 v^1/4 (-u^3 v^-2)^1/3

(-1) / (u^4 v^5/120

List 5 points on the graph of (make a table of values): y=5x-2

(-2,-12) (-1,-7) (0,-2) (1,3) (2,8)

10:16 and 14:p. What does p equal?

22.4

Slope-intercept form=? 6x+9y=27

y=(-2/3)x+3

What does 4x-3y=15 equal when solved for y?

y=(4/3)x-5

Equation of the line that contains the points (3,5) and (7,9)

y=x+2

(Rewrite to solve, ^ means exponent) a^1/4 b^-7 c^0

(a^1/4) / (b^7)

(Rewrite to solve, ^ means exponent) (m^3 n^-5 m^-1)^-3

(n^15) / (m^6)

Slope of the line through the points (8,-3) and (2,1)

-2/3

On a golf course, hole #9 is 175 yards long. A scale of the model is 2 in:20 yds. How many inches are between the tee and the hole on the model?

17.5 in

One number is 3 more than twice a second number. Their sum is 27. What is the larger number?

19

(Rewrite to solve, ^ means exponent) (6 x 10^7) / (3 x 10^5)

2 x 10^2

5.2:x and 4.8:19.2! What does x equal?

20.8

(Rewrite to solve, ^ means exponent) (3q)^5

243q^5

Equation= 8 fewer than p times 3 equals x.

3(p-8)=x

What is the standard form of the line that has a slope of (-3/4) and a y-intercept of 1 in integer form?

3x+4y=4

The scale of a map is .25 cm:15 km so .75 cm:_____

45 km

A change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type are there?

60 nickels 40 dimes

(Rewrite to solve, ^ means exponent) 6^7 / 6^3

6^4 or 1296

Suppose y varies directly with x and y=72 when x=6. What direct variation equation relates x and y? What is the value of y when x=10?

72=k6 y=120

(Rewrite to solve, ^ means exponent) (21 m^3/2) / (3 m^1/2)

7m

No real solution or all real numbers?: 8w-5[greater than]2(4w-3)

All real numbers

Where is the shaded region of the graph of 2x+3y[less than or equal to] 6

Below the line

Domain=? Range=? Function=? (0.3,0.6) (0.4,0.8) (0.3,0.7) (0.5,0.5)

D=0.3, 0.4, 0.5 R=0.5, 0.6, 0.7, 0.8 No

Domain=? Range=? Function=? (3,6) (5,7) (7,7) (8,9)

D=3,5,7,8 R=6,7,9 Yes

Continuous or discrete? The cost d, in dollars, for a parking pass depends on the number of whole weeks w you purchase. Represented by the function rule d=25w.

Discrete

True or false?: A rate of change must be negative

False

True or false?: The rate of change for a vertical line is zero.

False, it's undefined

How can you find the inverse of a function given the sets of the range and the domain?

Flip the domain and range so they become each other.

The cost of four scarves and six hats is $52. The cost of two hats is $1 more than the cost of one scarf. What are the costs of one scarf and one hat?

Hat= $4 Scarf= $7

One solution, no solution, or infinitely many? 12x+3y=18 y= -4x+6

Infinitely many

Solve: 2x+3y=24 6x+9y+36

No real solution

Linear or nonlinear? 1 : 6 2 : 24 3 : 54 4 : 96

Nonlinear

Describe the relationship between the relation, domain, and range.

The domain and range determine the relation.

Equation= the ratio of a to 5 equals b.

a/5=b

(Rewrite to solve, ^ means exponent) (bc^3)^1/5

b^1/5 c^3/5

Equation= d is less than the quotient of b and 4.

d=b/4 - 8

For what value of k are the graphs of y=3x+4 and 2y=kx+9 parallel?

k=6

Solve: 4(k+2)-3k[less than or equal to] 12

k[less than or equal to] 4

Equation= t is 4 more than the product of 7 and s.

t=4+7s

Solve using elimination: 7x+5y=19 -7x-2y= -16

x=2 y=1

Solve using substitution: x+(y/2)=4 (x/3)+2y=5

x=3 y=2

x and y intercepts =? 6x+12y=24

x=4 y=2

Solve using substitution: -4y-3x= -11 x-2y=17

x=9 y= -4

Slope-intercept form of line that passes through (-3,5) and is parallel to y=(-1/2)x+4

y= (-1/2)x+3.5

Slope-intercept form of line that passes through: (2,3) (1,5)

y= -2x+7

Slope-intercept form of line that passes through (5,-1) and is perpendicular to y=4x-7

y=(-1/4)x+.25

Solve: 22[greater than or equal to]5(y-2)-3y

y[greater than or equal to] 16