Free Printable Algebra Unit 1 Test Review 2025

1.

Solve the equation, if possible.
$2a-6\left(a-4\right)=\ -4$

a)

7

b)

identity

c)

0

d)

-5

2.

Solve the equation, if possible.
$6m+5-3m=7\left(m-1\right)$

a)

3

b)

no solution

c)

identity

d)

5

3.

Solve the equation, if possible.
$2x-14=-3x+6$

a)

20

b)

no solution

c)

identity

d)

4

4.

What is the error?

a)

Adding 2x to 3x

b)

Subtracting 5 from both sides

c)

Adding 2x to -2x

d)

Dividing by 5 on both sides

5.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n to both sides

b)

multiply 6n to both sides

c)

combine the like terms 4n + -6n

d)

add 1 to both sides

6.

Where is the first mistake?

a)

Subtracting 3 on both sides

b)

Distributing the 9

c)

Subtracting 9x on both sides

d)

Inequality error

7.

Solve: 4(x + 2) + 5x = -2 + 5(x + 4)

a)

2.8

b)

2.5

c)

1.5

d)

3.8

8.

Find which step the error occurred in:

8x - 27 - 10 - 6x = 15

Step 1: 2x - 27 -10 = 15

Step 2: 2x -17 = 15

Step 3: +17 +17

Step 4: 2x = 32

Step 5: x= 16

a)

Step 1

b)

Step 2

c)

Step 3

d)

Step 4

9.

7+\frac{a}{3}=5

a)

a= -2

b)

a= -6

c)

a= 3

d)

a= 15

10.

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

11.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

12.

With inequalities, you flip inequalities for 2 reasons. Choose both correct reasons to flip inequality.

a)

If you multiply or divide each side by a negative number

b)

If you have to turn the answer for the variable to be first

c)

If you add or subtract a number from each side.

d)

Every time you solve an inequality

13.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

14.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

15.

What is the degree of P(x) = x - 2x³ + 7x² + 5?

a)

1

b)

2

c)

3

16.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

17.

How many terms are in the following polynomial?
_3xy_{- 2y + 8x - 7z -16}

a)

A
1

b)

B
2

c)

C
4

d)

D
5

18.

Terms in a polynomial are separated by what?

a)

A
Parenthesis

b)

B
Multiplication/
Division

c)

C
Constants

d)

D
Addition/
Subtractraction

19.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

20.

What is the constant of this polynomial? 2x³ - 8x² + 3x - 7

a)

2

b)

-8

c)

3

d)

-7

21.

Which one of the following illustrates the Commutative Property of Addition?

a)

5 + 7 = 7 + 5

b)

5 + 7 = 4 + 8

c)

5 + 7 = 3 + 9

d)

5 + 7 = 10 + 2

22.

Which of the following illustrates the Commutative Property of Multiplication?

a)

3 x 4 = 6 x 2

b)

3 x 4 = 12 x 1

c)

3 x 4 = 2 x 6

d)

3 x 4 = 4 x 3

23.

Classify by number of terms:
2x – 9

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

24.

Add the polynomials:
(2x+5y) + (3x-2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

25.

Add the polynomials:
(3x³+3x²–4x+5) + (x³–2x²+x–4)

a)

4x³ + 1x² – 3x + 1

b)

2x³ + 1x² - 5x + 9

c)

6x³ + 1x - 1x² - 3

d)

3x⁵ +1x - 1x⁵ - 3x

26.

(4x²+x) - (x²+2x)

a)

3x²- x

b)

4x²+ 2x

c)

3x² + 3x

d)

3x² + 2x

27.

Multiply:
(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

28.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

29.

Find the difference.
(3-2x+2x²) - (4x-5+3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

30.

Find the product.
(x+7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

31.

The base of a triangle is 6x+4 and the height is 3x+2. What is the area of the triangle?
*Hint: Area = (base x height)/2

a)

9x² + 12x + 4

b)

9x² + 4

c)

18x² + 8

d)

18x² + 24x + 8

32.

The sum of three consecutive integers is 48. What is the smallest number in the group?

a)

16

b)

15

c)

17

d)

24

33.

The sum of three consecutive even integers is 618. What is the largest number in the group?

a)

207

b)

209

c)

206

d)

208

34.

Which expressions can be used to represent the sum of 3 consecutive odd integers?

a)

n+1, n+2, n+3

b)

n, n+1, n+3

c)

n, n+1, n+2

d)

n, n+2, n+4

35.

Find four consecutive integers whose sum is 62.

Which equation would give you the answer?

a)

4x + 4 = 62

b)

4x + 6 = 62

c)

4x + 1 = 62

d)

x + x + x + x = 62

36.

Which of the following is the correct set-up to convert 2 qt/min to gal/sec?

a)

$\frac{2\ qt}{1\ \min}\ \times\frac{4\ qt}{1\ gal}\times\frac{60\ \sec}{1\ \min}$

b)

$\frac{2\ qt}{1\ \min}\ \times\frac{1\ gal}{4\ qt}\times\frac{1\ \min}{60\ \sec}$

c)

$\frac{2\ qt}{1\ \min}\ \times\frac{1\ gal}{4\ qt}$

d)

$\frac{2\ qt}{1\ \min}\ \times\frac{1\ gal}{4\ qt}\times\frac{60\ \sec}{1\ \min}$

37.

Convert 60 ft/s to mi/h. (5280 ft = 1 mi and 3600 sec = 1hr)

a)

60 mi/h

b)

68 mi/h

c)

9.7 mi/h

d)

40.9 mi/h

38.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 plus $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

39.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn.

Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

40.

5a + 2b - 7b + 4a

a)

7b - 3a

b)

9a - 5b

c)

4ab

d)

12a + 6b

41.

Simplify by combining like terms:

3y^2-5x+2y-6x+8y^2+9y

a)

$11y^2-11x+11y$

b)

$-2xy^2-4xy+17y^3$

c)

$11y^4-11x^2+11y^2$

d)

$22y^6-11x$

42.

Simplify the following: $\frac{2v^5}{8v^3}$

a)

$\frac{v^2}{4}$

b)

$4v^2$

c)

$-6v^8$

d)

$6v^8$

Algebra Unit 1 Test Review 2025

Total questions: 42

Worksheet time: 4hrs 30mins

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