Free Printable Algebra I Midterm 2022

1.

How many terms are in the expression
3a + 2b + c + 100

a)

3

b)

4

c)

5

d)

6

2.

How is the number 9 best described in the expression
9m + 3n + 4

a)

coefficient

b)

variable

c)

constant

d)

term

3.

Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50. What is the correct expression?

a)

8.5 + 25.5

b)

8.5x + 25.5

c)

8.5 + 25.5x

d)

8.5x + 25.5x

4.

(3x² + 6x - 1) + (4x² + 5x + 9)

a)

-x² + x - 10

b)

x² - x + 10

c)

7x² + 11x + 8

d)

7x² + 11x + 10

5.

Subtract:
(3x² - 3x + 2) - (-3x² + 2x - 1)

a)

A
0x² - x + 1

b)

B
6x² - x + 1

c)

C
6x² - 5x + 3

d)

D
6x² + 5x + 3

6.

Which of these is in Standard Form?

Check all that apply.

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

7.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

8.

Simplify:
2x ( -2x -3)

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

9.

Solve the equation

x-9=24

a)

x=15

b)

x=33

c)

x=24/9

d)

x=-216

10.

8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

11.

$\sqrt{18}-\sqrt{12}$

a)

$\sqrt{6}$

b)

$2\sqrt{3}$

c)

$3\sqrt{2}-2\sqrt{3}$

d)

$\sqrt{5}$

12.

Select all the expressions that result in a rational number.

More than one answer possible.

a)

b)

c)

d)

e)

13.

What type of number is π ?

a)

Rational

b)

Irrational

14.

$\sqrt{5}\left(3-\sqrt{6}\right)$

a)

$\sqrt{15}-\sqrt{30}$

b)

$3\sqrt{5}-\sqrt{30}$

c)

$-\sqrt{15}$

d)

$\sqrt{15}-\sqrt{18}$

15.

IR = V
(solve for R)

a)

R = IV

b)

R = ^I/_V

c)

R = ^V/_I

d)

R = V - I

16.

Solve:
C = 2πr, for r

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

17.

What is the next line to this equation?

9 - 4(2p - 1) = 41

a)

9 - 8p + 4 = 41

b)

9 - 8p - 1 = 41

c)

9 - 8p - 4 = 41

d)

9 + 8p + 4 = 41

18.

$3\left(m+7\right)=6\left(m+2\right)$

Solve for m:

a)

$m=3$

b)

$m=\frac{1}{3}$

c)

$m=7$

d)

$m=\frac{1}{7}$

19.

2x - 3 ≥ 4x - 1

a)

x ≤ -1

b)

x ≥ -1

c)

x ≤ 1

d)

x ≥ 1

20.

$f\left(-2\right)\ =\$

a)

1

b)

-1

c)

0

d)

-2

21.

$f\left(x\right)\ =\ 2x\ -2$

$Find\ f\left(5\right)$

a)

8

b)

10

c)

12

d)

14

22.

$f\left(x\right)\ =\ -x^2\ +\ 5x\ -2$

$Find\ f\left(-2\right)$

a)

-8

b)

5

c)

10

d)

-16

23.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

24.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

25.

Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.

a)

a_n = 4n + 29

b)

a_n = -4n + 25

c)

a_n= -4n + 29

d)

a_n = 4n + 25

26.

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

a)

-16, -21, -26, -31

b)

5, -11, -27, -43

c)

-16, -80, -500, -200

d)

-16, -11, -6, -1

27.

Which equation matches this graph?

a)

y=-4x-4

b)

$y=x-4$

c)

$y=-x-4$

d)

$y=4x-4$

28.

Which is the graph of $y=-x+1$ ?

a)

A

b)

B

c)

C

d)

D

29.

Which equation matches this graph?

a)

$x+3y=-6$

b)

$x-3y=6$

c)

$y+2=3x$

d)

$3x+y=-2$

30.

Name the y intercept

a)

-1

b)

7

c)

-1x

d)

-7

31.

Name the slope

a)

2

b)

-2

c)

1/2

d)

1/2x

32.

Name the y intercept

a)

4

b)

-1

c)

1

d)

-4

33.

Name the slope

a)

Negative

b)

0 Slope

c)

Undefined

d)

Positive

34.

Which of the following is "NOT" a solution for the inequality?

You may use DESMOS to look at a graph.

y ≤ 5x - 1

a)

(0, -3)

b)

(5, 24)

c)

(-2, -15)

d)

(1, 7)

35.

Choose all of the points that are NOT solutions.

a)

(-2,2)

b)

(0,-2)

c)

(0,0)

d)

(4,0)

e)

(2,-3)

Algebra I Midterm 2022

Total questions: 35

Worksheet time: 9hrs 45mins

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