Free Printable 2nd Six Weeks Review

1.

Which of the following are like terms in the expression $3x + 5y + 2x$ ?

a)

$3x$ and $5y$

b)

$3x$ and $2x$

c)

$5y$ and $2x$

d)

All terms are like terms

2.

Simplify the expression: $4a + 7a$

a)

$11a$

b)

$28a$

c)

$3a$

d)

$4a7a$

3.

Which terms are like terms in the expression $2x^2 + 3x + 5x^2$ ?

a)

$2x^2$ and $3x$

b)

$3x$ and $5x^2$

c)

$2x^2$ and $5x^2$

d)

$2x^2$ and $3x + 5x^2$

4.

Simplify: $6y - 2y + y$

a)

$5y$

b)

$4y$

c)

$3y$

d)

$6y$

5.

Which of the following pairs are NOT like terms?

a)

$7m$ and $-2m$

b)

$x^2$ and $2x^2$

c)

$3ab$ and $4ba$

d)

$5x$ and $5y$

6.

Simplify: $8b + 3b - 4b$

a)

$7b$

b)

$11b$

c)

$-1b$

d)

$5b$

7.

Which terms are like terms in $x^2y + 2xy^2 + 5x^2y$ ?

a)

$x^2y$ and $2xy^2$

b)

$x^2y$ and $5x^2y$

c)

$2xy^2$ and $5x^2y$

d)

All terms are like terms

8.

Simplify: $9c^2 + 4c - 3c^2 + 2c$

a)

$6c^2 + 6c$

b)

$12c^2 + 2c$

c)

$6c^2 + 2c$

d)

$10c^2 + 6c$

9.

Which of the following are like terms?

a)

$2x$ and $2y$

b)

$3a^2$ and $-7a^2$

c)

$4xy$ and $4x$

d)

$5b$ and $5b^2$

10.

Simplify: $5x + 2y + 3x - y$

a)

$8x + y$

b)

$8x + 3y$

c)

$2x + y$

d)

$8x - y$

11.

Which terms are like terms in $7p^2q + 2pq^2 + 3p^2q$ ?

a)

$7p^2q$ and $3p^2q$

b)

$2pq^2$ and $3p^2q$

c)

$7p^2q$ and $2pq^2$

d)

All terms are like terms

12.

Simplify: $-4z + 6z - z$

a)

$1z$

b)

$-1z$

c)

$-9z$

d)

$11z$

13.

Which of the following are NOT like terms?

a)

$x^2$ and $2x^2$

b)

$3xy$ and $4yx$

c)

$5x$ and $5y$

d)

$7a$ and $-2a$

14.

Simplify: $2m^2 + 5m + 3m^2 - 2m$

a)

$5m^2 + 3m$

b)

$5m^2 + 7m$

c)

$6m^2 + 3m$

d)

$5m^2 + 2m$

15.

Which terms are like terms in $4a^2b + 7ab^2 + 2a^2b$ ?

a)

$4a^2b$ and $2a^2b$

b)

$7ab^2$ and $2a^2b$

c)

$4a^2b$ and $7ab^2$

d)

All terms are like terms

16.

Simplify: $10x - 3x + 2y - y$

a)

$7x + y$

b)

$13x + y$

c)

$7x + 2y$

d)

$10x - y$

17.

Which of the following are like terms?

a)

$2a^2b$ and $3ab^2$

b)

$4x^2$ and $-x^2$

c)

$5xy$ and $5x$

d)

$6y$ and $6y^2$

18.

Simplify: $7k + 2k - 5k + 4$

a)

$4k + 4$

b)

$9k + 4$

c)

$7k + 4$

d)

$2k + 4$

19.

Which terms are like terms in $3x^2y + 4xy^2 + 2x^2y$ ?

a)

$3x^2y$ and $2x^2y$

b)

$4xy^2$ and $2x^2y$

c)

$3x^2y$ and $4xy^2$

d)

All terms are like terms

20.

Simplify: $-2n + 8n + 3$

a)

$6n + 3$

b)

$10n + 3$

c)

$-6n + 3$

d)

$6n - 3$

21.

Which of the following are NOT like terms?

a)

$x^2y$ and $y^2x$

b)

$3ab$ and $4ba$

c)

$5x$ and $5x^2$

d)

$7m$ and $-2m$

22.

Simplify: $3p^2 + 4p - 2p^2 + 5$

a)

$p^2 + 4p + 5$

b)

$5p^2 + 4p + 5$

c)

$7p^2 + 4p + 5$

d)

$p^2 + 9p + 5$

23.

Which terms are like terms in $6xy + 2yx + 3x^2$ ?

a)

$6xy$ and $2yx$

b)

$2yx$ and $3x^2$

c)

$6xy$ and $3x^2$

d)

All terms are like terms

24.

Simplify: $5a - 3a + 2b - b$

a)

$2a + b$

b)

$8a + b$

c)

$2a + 2b$

d)

$5a - b$

25.

Which of the following are like terms?

a)

$x^2$ and $x$

b)

$3y$ and $-y$

c)

$2ab$ and $2a^2b$

d)

$4m^2$ and $4mn$

26.

Simplify: $8q^2 + 2q - 3q^2 + 4q$

a)

$5q^2 + 6q$

b)

$11q^2 + 6q$

c)

$5q^2 + 2q$

d)

$8q^2 + 6q$

27.

Which terms are like terms in $4x^2y + 5xy^2 + 3x^2y$ ?

a)

$4x^2y$ and $3x^2y$

b)

$5xy^2$ and $3x^2y$

c)

$4x^2y$ and $5xy^2$

d)

All terms are like terms

28.

Simplify: $-6r + 2r + 9$

a)

$-4r + 9$

b)

$8r + 9$

c)

$-8r + 9$

d)

$4r + 9$

29.

Which of the following are NOT like terms?

a)

$2x^2$ and $3x^2$

b)

$4ab$ and $4ba$

c)

$5y$ and $5y^2$

d)

$7m$ and $-2m$

30.

Simplify: $3x^2 + 2x + 4x^2 - x$

a)

$7x^2 + x$

b)

$7x^2 + 2x$

c)

$7x^2 + x^2$

d)

$3x^2 + 2x - x$

31.

Simplify: $3(x + 4) + 2x$

a)

$5x + 4$

b)

$5x + 12$

c)

$3x + 8$

d)

$3x + 6$

32.

Simplify: $2(3y - 5) + 4y$

a)

$10y - 5$

b)

$6y - 10$

c)

$6y - 5$

d)

$10y - 10$

33.

Simplify: $5(a - 2) + 3(a + 4)$

a)

$8a + 2$

b)

$8a - 2$

c)

$2a + 2$

d)

$2a - 2$

34.

Simplify: $4(2x + 1) - 3x$

a)

$8x + 1$

b)

$5x + 4$

c)

$8x + 4 - 3x$

d)

$5x + 1$

35.

Simplify: $2(4m - 3) + 3(2m + 1)$

a)

$14m - 3$

b)

$10m - 1$

c)

$14m + 1$

d)

$8m - 2$

36.

Simplify: $6(x - 2) - 2(x + 3)$

a)

$4x - 12$

b)

$8x - 12$

c)

$4x - 18$

d)

$8x - 18$

37.

Simplify: $3(2y + 5) + 2(3y - 1)$

a)

$12y + 13$

b)

$12y + 11$

c)

$6y + 13$

d)

$12y + 7$

38.

Simplify: $7(x + 2) - 4(x - 3)$

a)

$3x + 26$

b)

$11x + 2$

c)

$3x + 14$

d)

$11x - 6$

39.

Simplify: $2(5a - 3) + 3(2a + 4)$

a)

$16a + 6$

b)

$16a - 6$

c)

$10a + 6$

d)

$10a - 6$

40.

Simplify: $4(3x - 2) + 2(2x + 5)$

a)

$16x + 6$

b)

$16x - 6$

c)

$14x + 6$

d)

$14x - 6$

41.

Simplify: $5(y + 3) - 2(y - 4)$

a)

$3y + 23$

b)

$7y + 7$

c)

$3y + 7$

d)

$7y + 23$

42.

Simplify: $3(2x - 1) + 4(x + 2)$

a)

$10x + 5$

b)

$10x + 7$

c)

$14x + 5$

d)

$14x + 7$

43.

Simplify: $2(3m + 4) - 5(m - 2)$

a)

$-m + 18$

b)

$m + 18$

c)

$-m + 14$

d)

$m + 14$

44.

Simplify: $6(x + 2) + 2(3x - 5)$

a)

$12x - 2$

b)

$12x + 2$

c)

$6x - 2$

d)

$6x + 2$

45.

Simplify: $4(2y - 3) + 3(y + 5)$

a)

$11y + 7$

b)

$11y - 7$

c)

$8y + 7$

d)

$8y - 7$

46.

Simplify: $2(4x + 1) - 3(x - 2)$

a)

$5x + 8$

b)

$11x + 8$

c)

$5x + 7$

d)

$11x + 7$

47.

Simplify: $3(2a - 5) + 4(a + 3)$

a)

$10a + 7$

b)

$10a - 7$

c)

$6a + 7$

d)

$6a - 7$

48.

Simplify: $5(x - 2) + 2(3x + 4)$

a)

$11x + 8$

b)

$11x - 2$

c)

$5x + 8$

d)

$5x - 2$

49.

Simplify: $2(5y + 3) - 4(y - 2)$

a)

$6y + 14$

b)

$6y - 14$

c)

$10y + 14$

d)

$10y - 14$

50.

Simplify: $3(4m - 2) + 2(5m + 1)$

a)

$22m - 4$

b)

$22m + 4$

c)

$12m - 4$

d)

$12m + 4$

51.

Simplify: $4(x + 3) - 2(2x - 5)$

a)

$8x + 16$

b)

$8x + 6$

c)

$0x + 16$

d)

$0x + 6$

52.

Simplify: $2(3y - 4) + 5(y + 2)$

a)

$13y + 2$

b)

$13y - 2$

c)

$6y + 2$

d)

$6y - 2$

53.

Simplify: $3(2x + 5) - 4(x - 2)$

a)

$2x + 23$

b)

$2x + 13$

c)

$10x + 13$

d)

$10x + 23$

54.

Simplify: $2(4a - 3) + 3(2a + 5)$

a)

$10a + 9$

b)

$10a - 9$

c)

$8a + 9$

d)

$8a - 9$

55.

Simplify: $5(x + 2) + 2(3x - 4)$

a)

$11x - 3$

b)

$11x + 3$

c)

$8x - 3$

d)

$8x + 3$

56.

Simplify: $4(2y - 1) - 3(y + 2)$

a)

$5y - 10$

b)

$5y + 10$

c)

$8y - 10$

d)

$8y + 10$

57.

Simplify: $2(3m + 5) + 4(m - 2)$

a)

$10m + 2$

b)

$10m - 2$

c)

$6m + 2$

d)

$6m - 2$

58.

Simplify: $3(2x - 4) + 5(x + 1)$

a)

$11x - 7$

b)

$11x + 7$

c)

$6x - 7$

d)

$6x + 7$

59.

Simplify: $2(4y + 3) - 3(2y - 5)$

a)

$2y + 21$

b)

$2y - 21$

c)

$8y + 21$

d)

$8y - 21$

60.

Simplify: $4(x - 2) + 3(2x + 5)$

a)

$10x + 7$

b)

$10x - 7$

c)

$8x + 7$

d)

$8x - 7$

61.

33 = 4a - 7

a)

a=-10

b)

a=10

c)

a=4.5

62.

-3a + 8 = 14

a)

a= -2

b)

a= -7.5

c)

a= 2

d)

a= 6

63.

3 + (¹∕₄)a = 31

a)

a= 28

b)

a= 112

c)

a= 7

d)

a= 67

64.

0 = 8z + 8

a)

-1

b)

1

c)

0

d)

8

65.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

66.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

67.

-11 + 3(b + 5) = 7

a)

1

b)

-1

c)

3

d)

-3

68.

-(n - 8) = -2

a)

6

b)

10

c)

-10

d)

-6

69.

Solve.
(2x - 3) / 4 = 9

a)

x = 24

b)

x = 12

c)

x = 17.5

d)

x = 19.5

70.

Solve the equation:
^x/₃+ 10 = 15

a)

75

b)

15

c)

25

d)

5

71.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

72.

Solve:
3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

73.

3r - 5 = 2r

a)

No solution

b)

Infinitely many solutions

c)

r = 5

74.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

75.

12 (x + 3 ) = 4 (2x + 9 ) +4x

a)

No Solution

b)

One Solution

c)

Infinite Solutions

76.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

77.

a)

15

b)

3

c)

-15

d)

-3

78.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

79.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

80.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

81.

What is the length of the hypotenuse in the triangle shown?

a)

3

b)

4

c)

5

d)

8

82.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.5 feet

c)

13 feet

d)

11.6 feet

83.

Using the Pythagorean Theorem, find the area of the missing square (seen in picture)

a)

75 cm²

b)

105 cm²

c)

135 cm²

d)

30 cm²

84.

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

85.

a² + b² = c^{2
b = 35 c = 37}

a)

a = 12

b)

a = 11

c)

a = 18

d)

a = 14

86.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

87.

A right triangle has legs of lengths 3 cm and 4 cm. What is the length of the hypotenuse?

a)

5 cm

b)

6 cm

c)

7 cm

d)

8 cm

88.

A triangle has sides of lengths 9 cm, 12 cm, and 15 cm. Is this a right triangle?

a)

Yes

b)

No

89.

If a triangle has sides of lengths 8 cm, 15 cm, and 17 cm, is it a right triangle?

a)

Yes

b)

No

90.

Solve for x

a)

49

b)

58

c)

70

d)

94

91.

Solve for x

a)

65

b)

74

c)

37

d)

64

92.

Solve for x

a)

70

b)

23

c)

120

d)

130

93.

Solve for x

a)

105

b)

78

c)

110

d)

25

94.

What types of angles are Angle X and Angle Y?

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Corresponding Angles

95.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

96.

Angle A and W are...

a)

Corresponding

b)

Alternate Interior

97.

What is the distance between B and C?

a)

5

b)

6

c)

7

d)

4

98.

What is the distance between A and B?

a)

8

b)

6

c)

9

d)

2

99.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

100.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

101.

Find the measure of the indicated angle.

a)

26

b)

36

c)

85

d)

144

102.

a)

A

b)

B

c)

C

d)

D

103.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

104.

What is the third angle of a triangle whose 1st angle is 34 and 2nd angle is 101?

a)

32

b)

39

c)

45

d)

54

105.

Angles that are exactly 90 degrees are called _____ ______.

a)

tight angles

b)

acute angles

c)

obtuse angles

d)

right angles

106.

Solve for x.

a)

16

b)

11

c)

50

d)

6

107.

What is the relationship of the angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical

108.

What is the relationship of the Angles

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same Side Interior

109.

What is the angle relationship?

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Same-Side Interior

110.

Find the value of x.

a)

x = 133

b)

x = 47

111.

Find y.

a)

50

b)

130

112.

Solve for angle 5

a)

65

b)

60

c)

110

d)

115

113.

Find C

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

114.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

115.

Find the value of x.

a)

x = 133

b)

x = 47

c)

x = 180

d)

x = 90

116.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

117.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

118.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

119.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

120.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

121.

you ADD a² and b² then take the square root to find c on a right triangle.

a)

true

b)

false

122.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

123.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

124.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

125.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

2nd Six Weeks Review

Total questions: 125

Worksheet time: 4hrs 14mins

Similar Resources on Wayground