Free Printable Algebra Midterm Practice Test

1.

Which of the following is the graph of

3x - 2y < 10

a)

b)

c)

d)

2.

Find the product:
(3x + 2)(2x + 4)

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

3.

Which expression is a factor of 21x² + 13x - 20?

a)

3x - 4

b)

7x - 5

c)

7x + 4

d)

3x + 5

4.

Which ordered pair is a solution of the inequality?

y ≥ 4x – 5

a)

(3, 4)

b)

(3, 0)

c)

(2, 1)

d)

(1, 1)

5.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

6.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

7.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

8.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

9.

$x^2-6x+8$
Write the quadratic above in Factored Form.

a)

$\left(x+2\right)\left(x-4\right)$

b)

$\left(x-2\right)\left(x-4\right)$

c)

$\left(x+2\right)\left(x+4\right)$

d)

$\left(x-2\right)\left(x+4\right)$

10.

Simplify

a)

b)

c)

d)

11.

Which ordered pair is not a solution to the linear inequality?

$y\ge-\frac{3}{2}x+5$

a)

(0, 4)

b)

(4, 0)

c)

(10, -8)

d)

(6, 3)

12.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

13.

Which is the correct factoring and solutions?
$2h^2+11h+5\ =\ 0$

a)

(2h +5)(h + 1); h = $-\frac{5}{2}$ , $-1$

b)

(2h +1)(h + 5); h = $-\frac{1}{2},\ -5$

c)

(2h +2)(h + 3) h = $-1,\ -3$

d)

(2h +3)(h + 2) h = $-\frac{3}{2},\ -2$

14.

What is the domain of this graph?

a)

{-2 ≤ x ≤ 4}

b)

{-5 ≤ x ≤ 4}

c)

{-4, 0, -2}

d)

{-4 ≤ x ≤ 2}

15.

What is the RANGE of this graph?

a)

-7 < x < 5

b)

-7 ≤ y < 5

c)

-3 < x < 1

d)

-3 ≤ y < 1

16.

Which of the following inequalities matches the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

17.

What are the domain and range of the basketball's path?

a)

D: all real numbers

R: 0 < y < 16

b)

D: 0 < x < 27

R: 6 < y < 16

c)

D: 0 < x < 27

R: 6 < y < 10

d)

D: 0 < x < 27

R: 0 < y < 16

18.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

19.

Match the following graphs with the inequality.

a)

1.

y < 2x + 1

b)

2.

y ≤ 2x + 1

c)

3.

y > 2x + 1

d)

4.

y ≥ 2x + 1

20.

Sketch the graph the function

f\left(x\right)\ =\ \left(x-3\right)\left(x+3\right)

a)

b)

c)

d)

21.

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

a)

57x + 72y ≥ 2700

b)

57x + 72y > 2700

c)

57x + 72y < 2700

d)

57x + 72y ≤ 2700

22.

Factor by GCF:
6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

23.

Simplify:

a)

240

b)

300

c)

340

d)

360

24.

Which number is irrational?

a)

9.6

b)

√45

c)

3/8

d)

3.4 x 10 ⁵

25.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

26.

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint: Write your formula and then simplify it.)

a)

a_n= 6n + 2

b)

a_n= 6n - 6

c)

a_n= 6n - 4

d)

a_n = -6n + 4

27.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

28.

What transformations have occurred in the function: $f\left(x\right)=-3\left(x-1\right)^2+6$

a)

Reflection across the x-axis; Vertical stretch of 3; Right 1; Up 6

b)

Horizontal compression of 3; Left 1; Down 6

c)

Horizontal stretch of 1; Reflection across the x-axis; Up 6

d)

Reflection across the x-axis; Vertical stretch of 3; Left 1; Up 6

29.

Simplify $-3\sqrt{3}+\sqrt{27}$

a)

$-4\sqrt{3}$

b)

$2\sqrt{7}$

c)

$24\sqrt{3}$

d)

$0$

30.

$2x^2-36=x$

a)

$x=\frac{-9}{2}and\ 4$

b)

$x=\frac{9}{2}\ and\ -4$

c)

$x=4\ and\ -4$

d)

No real solution

31.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

32.

The graph of $f\left(x\right)=x^2$ is reflected over the x-axis and is stretched vertically to create the graph of function $g.$ Which graph could represent $g?$

a)

b)

c)

d)

Algebra Midterm Practice Test

Total questions: 32

Worksheet time: 5hrs 20mins

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