Free Printable Algebra 1 Test 1 Review

1.

Nine fewer than a number

a)

9 - n

b)

n - 9

c)

n + 9

d)

9 + n

2.

Double the sum of 8 and 9

a)

2 x 8 + 9

b)

2 x 8 - 9

c)

2 (8+9)

d)

2 / (8+9)

3.

"Subtracted from" and "less than" are terms that mean you need to "turn around" or "flip" the terms around.

a)

True

b)

False

4.

Translate this phrase into an algebraic expression.

8 less than the product of 4 and a number

Use the variable m to represent the unknown number.

a)

8 − 4m

b)

8m − 4

c)

8m + 4

d)

4m − 8

5.

a number increased by 5

a)

w - 5

b)

5w

c)

w + 5

d)

w / 5

6.

4 less than n

a)

4 - n

b)

n - 4

c)

4p - 5

d)

5 - 4p

7.

The sum of 6 and x

a)

x + 6

b)

6/x

c)

x + 4

d)

6x

8.

Product of 4 and p

a)

4/p

b)

4 X P

c)

12/4p

d)

12/4x

9.

What is the quotient of y and 5?

a)

y - 5

b)

y + 5

c)

y X 5

d)

y/5

10.

Write the phrase as an expression.
twice a number x plus 8

a)

2 + 8x

b)

2x + 8

11.

the difference of 3 times a number and 7

a)

3 - 7n

b)

3n - 7

c)

3n + 7

d)

3 / 7n

12.

the quotient of 4 and a number increased by 10.

a)

4 - n + 10

b)

4n - 10

c)

4n + 10

d)

4 / n + 10

13.

4 less than 5 times p

a)

4 - 5p

b)

5p - 4

c)

4p - 5

d)

5 - 4p

14.

Translate:
6 times the difference of 5 and x

a)

6(x – 5)

b)

6(5 – x)

c)

6 + 5 – x

d)

6(5x)

15.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 - y + 5

16.

The difference of x and 8, divided by 5

a)

x – 8 ÷ 5

b)

x/8 ÷ 5

c)

x/8/5

d)

(x – 8)/5

17.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number

a)

8 - 4m

b)

8m - 4

c)

8m + 4

d)

4m - 8

18.

2 times the difference of t and 11

a)

2t - 11

b)

2(t - 11)

c)

2(t / 11)

d)

2 x t - 11

19.

5 less than the product of 7 and s

a)

7s - 5

b)

5 - 7 + s

c)

7(s - 5)

d)

5 - 7s

20.

m plus the product of 6 and n

a)

m + 6n

b)

m - 6 + n

c)

6m + n

d)

m + 6 + n

21.

Simplify:

3y + 3 + 4y

a)

10y

b)

7y + 3

c)

3y + 7

22.

Simplify:

4 + 2y + 7

a)

2y + 11

b)

6y + 7

c)

13y

23.

Simplify:

6x + 3 + 5x

a)

14x

b)

9x + 5x

c)

11x + 3

24.

Simplify :

9 + g + 4

a)

9g4

b)

13

c)

13 + g

25.

Simplify :

2x + x - 4y

a)

2x+x-4y

b)

4x+4y

c)

3x-4y

d)

3x+4y

26.

Simplify:

3n – 6mn + 2n

a)

3n-6mn

b)

5n-6mn

c)

5n+6mn

d)

n-6mn

27.

Simplify:
5x - 6x - 8x + 7

a)

-9x + 7

b)

-9x - 7

c)

9x + 7

d)

9x - 7

28.

Simplify :

4a + 9 + a

a)

5a + 9

b)

3a-9

c)

3a + 9

d)

5a - 9

29.

Simplify:
-1x + y - z + 10z + 2x - 10y

a)

1x - 9y + 9z

b)

1x - 9z - 9y

c)

-1x - 9z - 9y

d)

-1x - 9 - 9y

30.

Simplify :

3x + 2x

a)

5x

b)

x

c)

6x

d)

5

31.

Simplify :

5a + 2b - 3a + 4

a)

8a + 2b + 4

b)

2a + 2b + 4

c)

8ab

d)

4ab + 4

32.

Simplify :

3x - 5x

a)

2x

b)

8x

c)

-2x

d)

15x²

33.

Simplify

-r -10r

a)

11r

b)

-11r

c)

9r

d)

-11

34.

Simplify :

a - 8 - 10

a)

2a - 18

b)

a - 18

c)

a - 2

d)

a + 18

35.

How many terms are in the expression below:

3x - 6 + 4b + 5 + 7 - 2x

a)

five

b)

eight

c)

six

d)

nine

36.

Simplify:
17m - 4 - 15m + 8

a)

2m + 4

b)

2m + (-12)

c)

2m + 12

d)

2m + (-4)

37.

Simplify

$-4xyz\ \times\ 5x$

a)

20x^2yz^{ }

b)

$-20x^2yz$

c)

$x^2yz$

d)

$-2xyz$

38.

The product of $4x$ and $0$ is

a)

4x

b)

4

c)

0

d)

None of the above

39.

Simplify

$8x^6y^4\ \div\ 2xy^3$

a)

16x^6y

b)

$4x^6y^7$

c)

$4x^5y$

d)

$16x^5y^4$

40.

Simplify

$\frac{21x^4}{7x^2}$

a)

\frac{3}{x^2}

b)

$\frac{x^2}{3}$

c)

$7x^2$

d)

$3x^2$

41.

2(x + 3)

a)

2x+3

b)

6+3x

c)

2x+6

d)

2x-6

42.

Simplify:

2m(m + n)

a)

2mm+2n

b)

2nm+2mn

c)

2m²+2mn

d)

2n²+2m

43.

Simplify:

−3(a + 5)

a)

-3a+15

b)

3a+15

c)

3a-15

d)

-3a-15

44.

Simplify:

−(8 − 2p)

a)

8-2p

b)

-8-2p

c)

-8+2p

d)

-8+6p

45.

Expand and simplify

7(p+10q)+2(6p+7q)

a)

7p+70q+12p+14q

b)

19p+84q

c)

15p+17q

d)

19p+77q

46.

Find the perimeter of the rectangle.

a)

3x + 7

b)

6x + 14

c)

18x + 6

d)

18x + 6

47.

Find the perimeter of the rectangle.

a)

3x² + 6x

b)

4x + 6

c)

8x + 12

d)

6x + 12

48.

Which of the expressions is equivalent to 7x - 14?

a)

7(x - 2)

b)

7(x + 2)

c)

7x + 14

d)

7(x - 14)

49.

Which of the following expressions is equivalent to 10x + 8?

a)

10x - 8

b)

5x + 5x + 4

c)

5(5x + 3)

d)

2(5x + 4)

50.

At a talent show, each performer has 2 minutes to set up, 3 minutes for an introduction, and 5 minutes for the act. There are 20 people performing. Which expression would help you find how long the talent show will be?

a)

2(20 + 3 + 5)

b)

3(20 + 2 + 5)

c)

5(20 + 2 + 3)

d)

20(2 + 3 + 5)

51.

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

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

52.

Simplify:
(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

53.

What does FOIL stand for?

a)

Flogging Outlawed in London

b)

Fans On in Landing

c)

First Outside Inside Last

d)

Fishing Only in Lakes

54.

Write the expanded (general) form of the product (x+3)(x+6).

a)

x²+18x+9

b)

x²+9x+18

c)

x²+18x+18

55.

Multiply:

(y + 9)²

a)

y² +18y + 81

b)

y² + 81

c)

y + 9

d)

y² +18y + 18

56.

What is the acronym that works with multiplying binomials?

a)

FIOL

b)

FOOL

c)

FOLL

d)

FOIL

57.

REVIEW: Multiply the monomials:

2x³ ⋅ 5x³

a)

7x³

b)

10x⁶

c)

10x⁹

d)

15x³

e)

10x³

58.

REVIEW: Simplify

(7x⁴y³z^-3qr)⁰

a)

pi

b)

1

c)

0

d)

7x⁴y³z^-3qr

59.

Which is quadratic?

a)

x³ + x² + 5

b)

x^quadratic

c)

x² - 1

d)

q⁴ + 2q + q + 4

60.

A biped (two-legged chicken) is looking for a binomial... which is it?

a)

x² + 3x

b)

x² - x - 1

c)

√49

d)

w²

e)

x^1/2 + 1

61.

Which is a monomial and why?

a)

x^1/3 is a monomial because 1/3 is a fraction and fraction's are awesome

b)

3x^-7 is a monomial because 7 is a nice number

c)

x¹ is a monomial because there is a positive whole-number exponent

d)

x⁷ is a monomial because there is an x

62.

Simplify
$3a(𝑎^2-3a+4)-4(3𝑎^3-2𝑎^2).$

a)

$–12𝑎^3+11𝑎^2\ -9a+12$

b)

$–15𝑎^3-17𝑎^2+12a$

c)

$–9𝑎^3-𝑎^2+12a$

d)

$–3𝑎^3+5𝑎^2+4a$

63.

Find

$(𝑥^3-x+1)\ -\ (3x-1)$

a)

$3x^3-1$

b)

$x^3-4x$

c)

$x^3-4x+2$

d)

$x^3+2x+2$

64.

Solve $3(7-2𝑛)=–3(5-n)$

a)

-6

b)

-3

c)

4

d)

9

65.

$7+3(2x+3)=2(5x+2)$ Solve

(a)

66.

Square of a Binomial results into ___________?

a)

Perfect Square Trinomial

b)

Difference of two squares

c)

Six terms

d)

General Trinomial

67.

$(5a+2b)^2\ =\ 25a^2+20ab+4b^2$

a)

TRUE

b)

FALSE

68.

$(x+y)(x−y)=x^2−y^2$

a)

TRUE

b)

FALSE

69.

Multiply:
(r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

70.

Find the product:
(y - 3)(y + 7)

a)

y² - 21

b)

y² + 10x - 21

c)

y² + 4y - 21

d)

2y - 10

71.

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

a)

6x² + 16x + 8

b)

5x² +11x + 6

c)

5x² + 16x + 6

d)

6x² + 11x + 8

72.

Find the Product.
(2x + 3)(2x - 3)

a)

4x² - 9

b)

4x² + 9

c)

4x²- 12x - 9

d)

4x² + 12x - 9

73.

Find the Product.

(2n + 3)(2n + 1)

a)

4n² + 8n + 3

b)

4n² - 8n - 3

c)

4n² + 8n - 3

d)

4n² - 8n + 3

74.

(x + 5)²

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

75.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

76.

Factor by GCF:

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

Prime

77.

Factor by GCF:

17xy - x

a)

17(xy - x)

b)

y(17x - x)

c)

x(17y - 1)

d)

Prime

78.

What is the GCF of 18k and 15k³

a)

5k³

b)

3k³

c)

3k

d)

5k

79.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

80.

Factor using the GCF method
8r³ + 16r²

a)

4r²(2r + 4)

b)

8r²(r + 2)

c)

8(r³ + r²)

d)

4(r³ + 2r²)

81.

Factor out the GCF:

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

82.

What is the GCF?

5x²+ 20x

a)

5

b)

x

c)

5x

d)

20x

83.

Factor: 12x²y⁴ - 6xy

a)

3xy (4xy³ - 2)

b)

6xy (2xy³ - 1)

c)

6xy (2x³y⁵ - x²y²)

d)

6xy ( 2xy³)

84.

Factor
10x² + 15x-5

a)

25(10x³+45x-15)

b)

5(2x³ + 3x²-x)

c)

x(10x³+15x-5)

d)

5(2x²+3x-1)

85.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

86.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

87.

What is the factored form of x²+16x+15

a)

(x+1)(x+15)

b)

(x+3)(x+5)

c)

(x-3)(x-5)

d)

(x-1)(x+15)

88.

What is the factored form of x²-10x+24

a)

(x-4)(x-6)

b)

(x-12)(x+2)

c)

(x-8)(x-3)

d)

(x+24)(x-1)

89.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

90.

Factor
k² -2k - 24

a)

(k+4)(k-6)

b)

(k+4)(k+6)

c)

(k+6)(k-1)

d)

(k-4)(k+6)

91.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

92.

Factor:

4h² - 12h + 9

a)

(2h - 3)(2h - 3)

b)

4(h + 9)(h + 1)

c)

(2h - 3)(2h + 3)

d)

(h - 9)(4h - 1)

93.

Factor completely: 3x² - 7x + 2

a)

(x - 1) (3x + 2)

b)

(x - 2) (3x -1)

c)

(x - 1) (3x - 2)

d)

(x + 2) (3x + 1)

94.

Factor Completely: 2x² + x - 6

a)

(x + 2) (2x - 3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)

95.

Factor: 4x²- 16x - 9

a)

(2x - 9)(2x + 1)

b)

(2x + 9)(2x - 1)

c)

(4x - 1)(x + 9)

d)

(2x - 3)(2x - 3)

96.

Factor x² – 16.

a)

(x + 2)(x – 8)

b)

(x – 4)(x – 4)

c)

(x + 4)(x + 4)

d)

(x + 4)(x – 4)

97.

Factor completely.

121x² - 49

a)

( 11x - 7 ) ²

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

98.

Factor: 25x²- 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

99.

Solve for x: 6x² - 18x = 0

a)

x = 3

b)

x = 0

c)

x = 0, 3

d)

x = 6, 18

100.

Solve for x: 16x² - 9 = 0

a)

x = -3, 3

b)

x = -3/4, 3/4

c)

x = -4/3, 4/3

d)

x = 9, 16

101.

Solve for x: x² - 225 = 0

a)

x = 225

b)

x = -15, 15

c)

x = 0

d)

No solution

102.

Solve for x: x² + 11x + 10 = 0

a)

x = 0

b)

x = 10, 11

c)

x = 1, 10

d)

x = -10, -1

103.

Solve for x: x² + 8x - 20 = 0

a)

x = -10, 2

b)

x = -2, 10

c)

x = 2, 10

d)

x = -10, -2

104.

Solve for x: 3x² - 9x = 0

a)

x = 3

b)

x = 0, 3

c)

x = -3, 9

d)

x = 9

105.

Solve for x: x² - 9x + 14 = 0

a)

x = -7, -2

b)

x = -7, 2

c)

x = 2, 7

d)

x = -2, 7

106.

Solve for x: x² + 2x - 63 = 0

a)

x = -9, 7

b)

x = -9, -7

c)

x = -7, 9

d)

x = 7, 9

107.

Solve for x: 2x² + 4x - 30 = 0

*Hint: Factor out GCF FIRST!!!!*

a)

x = 3, 5

b)

x = -5, 3

c)

x = -5, -3

d)

x = -3, 5

108.

Solve for x: 3x² - 15x + 18 = 0

*Hint: Factor out GCF FIRST!!!!*

a)

x = 2, 3

b)

x = -3, -2

c)

x = -3, 2

d)

x = -2, 3

109.

What are coordinates of the vertex of a parabola often represented by?

a)

(x, y)

b)

(x₂, y₂)

c)

(h, k)

d)

(r₂, d₂)

110.

Convert the equation from vertex form (shown) to standard form:

y = -3(x + 5)²- 4

Formula: y = ax²+ bx + c

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

111.

What is the vertex of the parabola: y=2(x-3)²+4

a)

(3,4)

b)

(-3,4)

c)

(3, -4)

d)

(-3,-4)

112.

What is the axis of symmetry for the following quadratic function: f(x)=1/2(x-4)²+3

a)

x=4

b)

x=-4

c)

x=1/2

d)

x=3

113.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

114.

y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

115.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

116.

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

117.

y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

118.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

119.

Convert the equation y= x²-2x-5 into vertex form.

a)

y= (x-1)²-6

b)

y= -(x-1)²-6

c)

y= (x+1)²-6

d)

y= -(x+6)²-1

120.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)² + 142

b)

f(x) = (x + 6)² - 34

c)

f(x) = (x + 6)² - 38

d)

f(x) = (x + 6)² + 34

121.

Convert the equation y= x²+4x into vertex form.

a)

y= (x+4)²-4

b)

y= (x-2)²+4

c)

y= (x+2)²-4

d)

y= (x+2)²

122.

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

a)

f(x) = (x - 4)² - 15

b)

f(x) = (x - 4)² + 17

c)

f(x) = (x - 4)² - 17

d)

f(x) = (x - 4)² + 65

123.

Convert the equation
x²-12x+40
into vertex form

a)

(x+6)²-4

b)

(x+6)²+4

c)

(x-6)²-4

d)

(x-6)²+4

124.

Which function is equivalent to
y = x² - 6x + 10?

a)

y = (x + 3)² - 1

b)

y = (x - 3)² + 1

c)

y = (x + 6)² - 10

d)

y = (x - 6)² + 10

125.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

126.

What do we call the highest or lowest point of a quadratic?

a)

parabola

b)

vertex

c)

graph

d)

point

127.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

Algebra 1 Test 1 Review

Total questions: 127

Worksheet time: 8hrs 3mins

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