Free Printable Mini-Review for Mock Algebra

1.

What is the solution to the equation - (6m + 8) = 4(17 - m)?

a)

m = -38

b)

m = 5

c)

m = 6

d)

m = 7

2.

What is the rate of change of y with respect to x for the given function?

a)

-0.2

b)

-0.5

c)

0.5

d)

0.2

3.

Which graph best represents the equation -5y = -6x + 15?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

4.

Which system of equations does the graph represent?

a)

F. y = -x - 4 , y = 2x - 2

b)

G. y = -x + 4 , y = 2x - 4

c)

H. y = x - 4 , y = -2x - 2

d)

J. y = x + 4 , y = -2x - 4

5.

Which expression is equivalent to $\frac{45m^{-6}p^2v^{12}}{15m^{-2}p^8v^{-4}}$ for all values of $m$ , $p$ , and $v$ where the expression is defined?

a)

$\frac{3v^8}{m^8p^6}$

b)

$\frac{3v^{16}}{m^4p^6}$

c)

$\frac{30m^3}{p^4v^3}$

d)

$\frac{30v^3}{m^3p^4}$

6.

What is the domain of the function for this situation?

a)

0 ≤ x ≤ 230

b)

6 ≤ y ≤ 36

c)

0 ≤ y ≤ 36

d)

6 ≤ x ≤ 230

7.

Which value of x is a solution to the equation

5x^2 - 36x + 36 = 0?

a)

A) x = -6

b)

B) x = 4

c)

C) x = -1.8

d)

D) x = 1.2

8.

What is the equation for this parabola in factored form?

a)

y=(x+2)(x-1)

b)

y=(x-2)(x+1)

c)

y=(x-2)(x-1)

d)

y=(x+2)(x+1)

9.

Which of the following is a factor of $x^2-5x+6$ ?

A. x-3 [red]

B. x-1 [blue]

C. x+1 [green]

D. x+2 [yellow]

Strategy: Which line shares a zero with the parabola?

A

B

C

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

F

b)

G

c)

H

d)

I

12.

a)

±72

b)

±12

c)

12

d)

No real solution

13.

a)

±23.25

b)

±5

c)

±25

d)

No real solution

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

16.

What is the solution to the inequality 3x - 7 < 2x + 5?

a)

x > -12

b)

x < -12

c)

x > 12

d)

x < 12

17.

Which of the following is the vertex form of the quadratic equation y = x^2 - 4x + 3?

a)

y = (x - 2)^2 + 1

b)

y = (x + 2)^2 - 1

c)

y = (x + 2)^2 + 1

d)

y = (x - 2)^2 - 1

18.

What is the slope of the line represented by the equation 2y - 3x = 6?

a)

-3/2

b)

-2/3

c)

2/3

d)

3/2

19.

Linear function t has an x-intercept of -1 and a y-intercept of 5. Which graph best represents t?

a)

b)

c)

d)

20.

The table represents some points on the graph of a linear function. What is the rate of change of y with respect to x for this function?

a)

10

b)

-10

c)

17

d)

-17

21.

The value of y is directly proportional to the value of x. When x = 3.5, the value of y is 14.

What is the value of y when x = 28?

(a)

22.

Which expression is equivalent to $35m^2-63$

a)

$7(5m^2-9)$

b)

$-7(5m^2+9)$

c)

$7m(5m-9)$

d)

$-7m(5m+9)$

23.

$6y+x=-59\ \ and\ \ \ x=-2y+9$ 11. What is the value of y in the solution to this system of equations?

a)

8.5

b)

-17

c)

43

d)

-12.5

24.

13. The range of a quadratic function is shown in the grid. Which function is best represented by this graph?

a)

$f(x)=-1/2x^2+16$

b)

$f(x)=-x^2+16$

c)

$f(x)=-1/2x^2+8=$

d)

$f(x)=-x^2+8$

25.

12. A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black and white and the rest were color copies.

· Each black and white copy cost $0.08.

· Each color copy cost $0.15

Which system of equations can be used to find b, the number of black and white copies, and c, the number of color copies that the customer paid for at the print shop?

a)

b + c = 6.00

0.08b + 0.15c = 68

b)

b + c = 68

0.15b + 0.08c = 6.00

c)

b + c = 6.00

0.15b + 0.08c = 68

d)

b + c = 68

0.08b + 0.15c = 6.00

Mini-Review for Mock Algebra

Total questions: 25

Worksheet time: 40mins

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