Free Printable Ch. 1&2 Mastery Check

1.

Solve the equation:

$x+\frac{1}{2}=\frac{3}{4}$

a)

$\frac{4}{6}$

b)

1

c)

$\frac{1}{4}$

d)

$\frac{5}{4}$

2.

Solve the equation:

$\frac{z}{4}=12$

a)

48

b)

3

c)

8

d)

16

3.

Solve the equation:

$5n=-20$

a)

-100

b)

-4

c)

4

d)

100

4.

Solve the equation:

$g+5=17$

a)

12

b)

22

c)

No Solution

d)

All Real Numbers

5.

Solve the equation:

13+3p+10=23+3p

a)

23

b)

3

c)

No Solution

d)

All Real Numbers

6.

Solve the equation:

7+4y=39

a)

8

b)

1

c)

11.5

d)

No Solution

7.

Solve the equation:

5\left(2c+7\right)-3c=7\left(c+5\right)

a)

35

b)

7

c)

No Solution

d)

All Real Numbers

8.

Solve the equation:

\frac{1}{2}\left(6x+4\right)=5\left(2x-8\right)

a)

7

b)

42

c)

6

d)

No Solution

9.

Solve the equation:

\left|b-12\right|=15

a)

27

b)

3

c)

-27

d)

-3

10.

Solve the literal equation for y:

2x+5y=3y+8

a)

$y=\frac{8x-2}{3}$

b)

$y=-x+4$

c)

$x=\frac{5y-8}{2}$

d)

No Solution

11.

At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag?

a)

4

b)

2.24

c)

10.5

d)

6.8

12.

Solve for x 3 l 4x−1 l −5 = 10

a)

x = 1.5 and x =-1

b)

x = -1.5 and x = 1

c)

x =1 and x = -1

d)

No Solution

13.

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

14.

-8(-8x - 6) = -6x - 22

a)

2/5

b)

-1

c)

8/7

d)

2

15.

You bought a magazine for $8 and 6 erasers. If you spent a total of $11, then how much did each eraser cost?

a)

$3.00

b)

$2.00

c)

$.50

d)

$.625

16.

You want to buy a new pair of shoes that costs $95.00. You have already saved up $27.00 and you plan to save $4 per week. How many weeks until you have enough money to buy the shoes?

a)

68 weeks

b)

17 weeks

c)

91 weeks

d)

64 weeks

17.

Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:

-3x+8=-3x+c

a)

-6

b)

8

c)

6

d)

2

18.

Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:

\left|x-2\right|=c

a)

2

b)

-1

c)

0

d)

-3

19.

Solve the equation:

7n+3=2n+23

a)

4

b)

5

c)

20

d)

No Solution

20.

Solve the equation:

-2\left(2x+4\right)=4\left(2x-8\right)

a)

24

b)

12

c)

2

d)

No Solution

21.

Solve the equation:

\left|b-7\right|=20

a)

27

b)

-27

c)

13

d)

-13

22.

At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag?

a)

4

b)

2.24

c)

10.5

d)

6.8

23.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

24.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

25.

-8y = -3y -15

a)

3

b)

-3

c)

5

d)

-5

26.

k - 10 = 7

a)

-3

b)

3

c)

17

d)

- 17

27.

Solve for b:
-11 + 3(b + 5) = 7

a)

b = 1

b)

b = -1

c)

b = 3

d)

b = -3

28.

Solve: -3w = 30

a)

-27

b)

9

c)

-10

d)

33

29.

7(1 - x) = -3(y - x)

a)

x = 1/4

b)

x = 4

c)

x = 5

30.

Solve:
2(a + 4) = 2a - 8 + 4a

a)

3

b)

-3

c)

-4

d)

4

31.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

32.

Solve for x
l 2x−1 l = 9

a)

x = 5 and x =-4

b)

x = 5 and x = -5

c)

Only x = 5

d)

No Solution

33.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

34.

pV = nRT

solve for R

a)

R= p/n + V/T

b)

R= pV - nT

c)

R= (pV-n)/T

d)

R=pV/nT

35.

−2|−2r − 4| = -12

a)

{5,1}

b)

{-5,-1}

c)

{-5,1}

d)

No Solution

36.

Solve |x – 12| - 3 = 11.

a)

x = -2
x = -26

b)

x = -2
x = 26

c)

x = 3
x = 25

d)

x = 4
x = -7

37.

Solve the equation:

$x+\frac{1}{2}=\frac{3}{4}$

a)

$\frac{4}{6}$

b)

1

c)

$\frac{1}{4}$

d)

$\frac{5}{4}$

38.

Solve the equation:

$\frac{z}{4}=12$

a)

48

b)

3

c)

8

d)

16

39.

Solve the equation:

$5n=-20$

a)

-100

b)

-4

c)

4

d)

100

40.

Solve the equation:

$g+5=17$

a)

12

b)

22

c)

No Solution

d)

All Real Numbers

41.

Solve the equation:

13+3p+10=23+3p

a)

23

b)

3

c)

No Solution

d)

All Real Numbers

42.

Solve the equation:

7+4y=39

a)

8

b)

1

c)

11.5

d)

No Solution

43.

Solve the equation:

5\left(2c+7\right)-3c=7\left(c+5\right)

a)

35

b)

7

c)

No Solution

d)

All Real Numbers

44.

Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:

-3x+8=-3x+c

a)

-6

b)

8

c)

6

d)

2

45.

Select ANY/ALL value(s) of c for which this equation has NO SOLUTION:

\left|x-2\right|=c

a)

2

b)

-1

c)

0

d)

-3

46.

Solve the literal equation for y:

x-4y=y+6

a)

$x=5y+6$

b)

$y=\frac{x-6}{5}$

c)

$x=\frac{5y-8}{2}$

d)

No Solution

47.

Solve the literal equations for h:

$V=\pi r^2h$

a)

$h=V-\pi r^2$

b)

$h=2\pi r$

c)

$\pi=\frac{V}{r^2h}$

d)

$h=\frac{V}{\pi r^2}$

48.

At a book fair, a tote bag costs $5 and books cost $3.50 each. You spend a total of $19 before taxes. How many books did you buy in addition to the tote bag?

a)

4

b)

2.24

c)

10.5

d)

6.8

49.

Write the sentence as an inequality:

The temperature t is at least 75^oF.

a)

$t>75$

b)

$t<75$

c)

$t\le75$

d)

$t\ge75$

50.

Write the sentence as an inequality:

The cost of a ticket t will be no more than $26.

a)

$t>26$

b)

$t<26$

c)

$t\le26$

d)

$t\ge26$

51.

Write an inequality that represents the graph.

a)

x>2

b)

$x<2$

c)

$x\ge2$

d)

$x\le2$

52.

Write an inequality that represents the graph.

a)

x>3

b)

$x<3$

c)

$x\ge3$

d)

$x\le3$

53.

Solve the inequality.

-9<m-6

a)

$m>-3$

b)

$m<-3$

c)

$m>-15$

d)

$m>3$

54.

Solve the inequality.

-3z\ge6+3z

a)

No Solution

b)

All Real Numbers

c)

$z\le-1$

d)

$z\ge-1$

55.

Solve the inequality. Select ALL that apply.

$-3y>9$ or $2y-6>2$

a)

$y<-3$

b)

$y>-3$

c)

$y<4$

d)

$y>4$

56.

Solve the inequality.

-1<c+2<3

a)

$-3<c<1$

b)

$-3>c>1$

c)

$-1<c<5$

d)

No Solution

57.

Solve the inequality:

m\ge5m-4

a)

$m\le1$

b)

$m\ge1$

c)

$m\ge\frac{5}{4}$

d)

$m\le\frac{5}{4}$

58.

Solve the inequality:

4n+3<6n+8-2n

a)

All Real Numbers

b)

No Solution

c)

$n>-\frac{5}{4}$

d)

$n<5$

59.

Solve the inequality:

10-2\left(3x-1\right)>6x+10

a)

$x<\frac{1}{6}$

b)

No Solution

c)

All Real Numbers

d)

$x<-\frac{1}{6}$

60.

Solve the inequality:

\left|2x-6\right|<0

a)

$x<3$

b)

$x>-3$

c)

No Solution

d)

All Real Numbers

61.

Solve the inequality. Select ALL answers that apply.

\left|7-2y\right|-8\ge-3

a)

$y\le1$

b)

$y\ge6$

c)

$y\ge1$

d)

$y\le6$

e)

$y\ge-1$

62.

Solve -4|x + 1| < -20

a)

x < -6 or x > 4

b)

-6 < x < 4

c)

-4 < x < 4

d)

x < -4 or x > 4

63.

Solve |x - 4|- 3 < 5

a)

-12 < x < 12

b)

No solution

c)

-4 < x < 12

d)

x > -4 or x < 12

64.

Which inequality matches this graph?

a)

x > -1 or x < 2

b)

-1< x > 2

c)

-1 < x < 2

d)

-1 > x < 2

65.

|x| > 7 Is this an "and" or an "or"?

a)

And

b)

Or

66.

Write the sentence as an inequality:

The temperature t is at least 75^oF.

a)

$t>75$

b)

$t<75$

c)

$t\le75$

d)

$t\ge75$

67.

Solve the inequality.

-9<m-6

a)

$m>-3$

b)

$m<-3$

c)

$m>-15$

d)

$m>3$

68.

Solve for w:
-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

69.

-3 ( f - 8 ) = 39

a)

-21

b)

-10.3

c)

-5

d)

5

70.

Find the all the solutions to: $x+7=7+x$

a)

0

b)

no solution

c)

infinitely many solutions

d)

1

71.

3(3x - 6) = 18

a)

x = 4

b)

x = -4

c)

x=8

d)

x= -12

72.

-3 + x ≤ -11

a)

x ≤ -8

b)

x ≤ 8

c)

x ≥ -8

d)

x ≥ 8

73.

6x - 4 ≥ 26

a)

x ≥ 3.67

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

74.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

75.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

76.

-4(5x + 3) - 6x > 11 - 3x

a)

x < -1

b)

x < -7

c)

x < 5

d)

x > 4

e)

x > 3

77.

Solve for x
l 4x−3 l = 17

a)

x = 5 and x =-3.5

b)

x = 0 and x = -5

c)

x = 10 and x = -10

d)

No Solution

78.

Solve for x
l x−6 l + 4= 10

a)

x = 12 and x = 0

b)

x = 3 and x = -3

c)

x = -12 and x = 0

d)

No Solution

79.

Evaluate each expression.
| x + 9 | = -5

a)

-14

b)

-4

c)

{-14, -4}

d)

no solution

80.

Solve the following equation:

|−2n| + 10 = −50

a)

{30, −30}

b)

{20, −20}

c)

{−5, 5}

d)

No Solution

81.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

82.

Solve: |x + 3| < 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

5 < x < 11

83.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

-11 < x < 5

c)

x > 11 or x < -5

d)

-5 < x < 11

84.

Solve: |2x + 1| ≥ 19

a)

x ≥ 9 or x ≤ -10

b)

-10 ≤ x ≤ 9

c)

x ≥ 10 or x ≤ -9

d)

-9 ≤ x ≤ 10

85.

Solve.

a)

b < -8

b)

b > -8

c)

All real numbers

d)

No solution

86.

Solve: |k| > -8

a)

x > 8 or x < -8

b)

-8 < k < 8

c)

No solution

d)

Infinite solution

87.

Solve: |k| < -8

a)

x > 8 or x < -8

b)

-8 < k < 8

c)

No solution

d)

Infinite solution

88.

Write an inequality for Graph 3.

a)

x ≤ -2 AND x > 5

b)

x ≤ -2 OR x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x < 5

89.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

90.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

91.

Solve:

3x + 2 < -7 or -4x + 5 < 1

a)

All real numbers

b)

x < -3 and x > 1

c)

x < -3 or x < 1

d)

x < -3 or x > 1

92.

Give the solution set for: -13<2x+5<15

a)

-9>x>5

b)

-9<x<5

c)

-4<x<5

d)

-4>x>5

93.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

94.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

95.

Solve for a: 12am = 4

a)

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

b)

a = 4 -12m

c)

$a\ =\ \frac{12m}{4}$

d)

$a\ =\ 12m\ -\ 4$

Ch. 1&2 Mastery Check

Total questions: 95

Worksheet time: 4hrs 10mins

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