Deck 2: Solving Equations and Inequalities

Question 1

Decide if the given number is a solution to the given equation.

- $3 \mathrm{x}=24 ; 4$

Answer 1

False

Question 2

Decide if the given number is a solution to the given equation.

- $\frac{x}{8}=5 ; 40$

Answer 2

True

Question 3

Decide if the given number is a solution to the given equation.

- $p+13=20 ; 7$

Answer 3

True

Question 4

Decide if the given number is a solution to the given equation.

- $\mathrm{p}-6=5$ ; 11

Question 5

Decide if the given number is a solution to the given equation.

- $5 \mathrm{~m}+5=42 ; \quad 7$

Question 6

Decide if the given number is a solution to the given equation.

- $5 p+3 p-2=62 ; \quad 8$

Question 7

Solve the equation using the addition principle.

- $\mathrm{x}-7=-6$

A) 13
B) 1
C) -1
D) -13

Question 8

Solve the equation using the addition principle.

- $b+3=6$

A) -9
B) 9
C) 3
D) -3

Question 9

Solve the equation using the addition principle.

- $8=\mathrm{x}+7$

A) 1
B) - 1
C) -15
D) 15

Question 10

Solve the equation using the addition principle.

- $-18=a-24$

A) 42
B) -42
C) -6
D) 6

Question 11

Solve the equation using the addition principle.

- $\mathrm{x}-19.33=0$

A) 19.33
B) 18.33
C) -19.33
D) -18.33

Question 12

Solve the equation using the addition principle.

- $-7+\mathrm{x}=18$

A) -11
B) 11
C) 25
D) -25

Question 13

Solve the equation using the addition principle.

- $24=-12+z$

A) 36
B) -36
C) -12
D) 12

Question 14

Solve the equation using the addition principle.

- $-19.5=24.5+x$

A) 5
B) 44
C) -44
D) -5

Question 15

Solve the equation using the addition principle.

- $\frac{1}{2}+\mathrm{x}=4$

A) 7
B) $\frac{3}{2}$
C) $\frac{7}{2}$
D) $\frac{9}{2}$

Question 16

Solve the equation using the addition principle.

- $h+\frac{3}{11}=\frac{6}{11}$

A) $\frac{9}{11}$
B) $\frac{3}{11}$
C) $\frac{5}{11}$
D) 3

Question 17

Solve the equation using the addition principle.

- $\mathrm{k}-\frac{3}{5}=\frac{9}{10}$

A) $\frac{4}{5}$
B) 3
C) $\frac{3}{10}$
D) $\frac{3}{2}$

Question 18

Solve the equation using the addition principle.

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

A) $\frac{7}{3}$
B) $\frac{11}{3}$
C) $\frac{17}{3}$
D) 7

Question 19

Solve the equation using the addition principle.

- $x-\frac{9}{10}=-\frac{2}{5}$

A) $-\frac{1}{2}$
B) $-\frac{13}{10}$
C) $\frac{1}{2}$
D) $\frac{13}{10}$

Question 20

Solve using the multiplication principle.

- $9 \mathrm{x}=90$

A) 810
B) 10
C) $\frac{1}{10}$
D) 81

Question 21

Solve using the multiplication principle.

- $45=9 x$

A) 405
B) 5
C) $\frac{1}{5}$
D) 36

Question 22

Solve using the multiplication principle.

- $-x=-20$

A) -20
B) $-\frac{1}{20}$
C) -19
D) 20

Question 23

Solve using the multiplication principle.

- $-9 a=36$

A) -45
B) -4
C) 1
D) 45

Question 24

Solve using the multiplication principle.

- $18=-2 k$

A) 1
B) 20
C) -20
D) -9

Question 25

Solve using the multiplication principle.

- $-8 \mathrm{x}=-24$

A) 2
B) 16
C) 3
D) -16

Question 26

Solve using the multiplication principle.

- $-2 b=22$

A) -11
B) -24
C) 24
D) 1

Question 27

Solve using the multiplication principle.

- $-60=4 z$

A) -64
B) 64
C) -15
D) 1

Question 28

Solve using the multiplication principle.

- $-96=-6 n$

A) 16
B) 90
C) -90
D) 2

Question 29

Solve using the multiplication principle.

- $-4 s=-44$

A) 2
B) 40
C) -40
D) 11

Question 30

Solve using the multiplication principle.

- $\frac{x}{5}=11$

A) 44
B) 16
C) 50
D) 55

Question 31

Solve using the multiplication principle.

- $\frac{-t}{8}=11$

A) -80
B) -77
C) -19
D) - 88

Question 32

Solve using the multiplication principle.

- $\frac{m}{-6}=25$

A) -125
B) - 144
C) -150
D) - 31

Question 33

Solve using the multiplication principle.

- $\frac{1}{5} \mathrm{x}=14$

A) 70
B) 65
C) 19
D) 56

Question 34

Solve using the multiplication principle.

- $-\frac{1}{4} y=18$

A) -54
B) -72
C) -68
D) - 22

Question 35

Solve using the multiplication principle.

- $\frac{4}{5} \mathrm{x}=8$

A) $\frac{32}{5}$
B) $\frac{44}{5}$
C) $\frac{36}{5}$
D) 10

Question 36

Solve using the multiplication principle.

- $-\frac{1}{5} \mathrm{k}=-4$

A) 20
B) - 5
C) 7
D) 8

Question 37

Solve using the multiplication principle.

- $\frac{1}{8}=\frac{6}{11} x$

A) $\frac{3}{44}$
B) $\frac{11}{48}$
C) $\frac{48}{11}$
D) $\frac{44}{3}$

Question 38

Solve using the multiplication principle.

- $-\frac{1}{8} \mathrm{z}=\frac{1}{9}$

A) $\frac{8}{9}$
B) $-\frac{8}{9}$
C) $-\frac{9}{8}$
D) $-8 \frac{1}{9}$

Question 39

Solve using the multiplication principle.

- $-\frac{8}{9} t=\frac{5}{7}$

A) $\frac{45}{7}$
B) $-\frac{56}{45}$
C) $\frac{45}{56}$
D) $-\frac{45}{56}$

Question 40

Solve using the multiplication principle.

- $\frac{8}{63} x=-\frac{16}{21}$

A) $-\frac{3}{2}$
B) $-\frac{27}{32}$
C) $-\frac{32}{27}$
D) - 6

Question 41

Solve using the multiplication principle.

- $-\frac{4}{21} y=-\frac{8}{45}$

A) $\frac{24}{35}$
B) $\frac{35}{24}$
C) $\frac{14}{15}$
D) $\frac{21}{10}$

Question 42

Solve using the multiplication principle.

- $6.5 x=19.5$

A) $\frac{1}{3}$
B) 13
C) 16.5
D) 3

Question 43

Solve using the multiplication principle.

- $59.5=8.5 y$

A) 52.5
B) $\frac{1}{7}$
C) 7
D) 51

Question 44

Solve using the multiplication principle.

- $-5.8 y=46.4$

A) $-\frac{1}{8}$
B) -40.6
C) -38.4
D) -8

Question 45

Solve using the multiplication principle.

- $3.1 t=-12.4$

A) -4
B) $-\frac{1}{4}$
C) -9.3
D) -8.4

Question 46

Solve using the multiplication principle.

- $-61.2=6.8 z$

A) -9
B) $-\frac{1}{9}$
C) -54.4
D) -52.2

Question 47

Solve using the multiplication principle.

- $-7.3 m=-21.9$

A) 14.6
B) 3
C) $\frac{1}{3}$
D) 18.9

Question 48

Solve using the multiplication principle.

- $41.1 \mathrm{x}=575.4$

A) 561.4
B) $\frac{1}{14}$
C) 14
D) 534.3

Question 49

Solve using the multiplication principle.

- $-13.9 y=55.6$

A) -41.7
B) -51.6
C) -4
D) $-\frac{1}{4}$

Question 50

Solve using the multiplication principle.

- $45.8 t=-641.2$

A) -627.2
B) $-\frac{1}{14}$
C) -14
D) -595.4

Question 51

Solve using the multiplication principle.

- $-44.9 m=-583.7$

A) 538.8
B) $\frac{1}{13}$
C) 570.7
D) 13

Question 52

Solve using the multiplication principle.

- $\frac{1}{5} \mathrm{~b}=-3.51$

A) 1.49
B) 0.49
C) -17.55
D) -2.00

Question 53

Solve using the multiplication principle.

- $-\frac{5}{8} \mathrm{x}=-30.8$

A) 49.28
B) 33.84
C) 22.8
D) 44.28

Question 54

Solve using the multiplication principle.

- $\frac{7}{4} \mathrm{x}=52.85$

A) -48.85
B) -23.2
C) -30.2
D) -20.45

Question 55

Solve.

- $6 r+2=56$

A) 7
B) 9
C) 48
D) 52

Question 56

Solve.

- $7 \mathrm{n}-9=5$

A) 11
B) 9
C) 2
D) 7

Question 57

Solve.

- $25=8 \mathrm{x}-7$

A) 28
B) 24
C) 4
D) 10

Question 58

Solve.

- $152=11 \mathrm{x}+20$

A) 12
B) 121
C) 6
D) 125

Question 59

Solve.

- $7 x+6=-15$

A) -2
B) -28
C) $-\frac{9}{7}$
D) -3

Question 60

Solve.

- $9-5 p=-7$

A) $-\frac{1}{5}$
B) $-\frac{2}{5}$
C) $-\frac{16}{5}$
D) $\frac{16}{5}$

Question 61

Solve.

- $-6 \mathrm{x}-11=-131$

A) 20
B) -20
C) $\frac{71}{3}$
D) -114

Question 62

Solve.

- $-9 \mathrm{n}-2=34$

A) 31
B) -27
C) -4
D) 4

Question 63

Solve.

- $-17=-2 \mathrm{x}+1$

A) 9
B) -9
C) 20
D) 16

Question 64

Solve.

- $\frac{1}{5} \mathrm{f}-5=1$

A) -30
B) -8
C) 8
D) 30

Question 65

Solve.

- $\frac{1}{2} a-\frac{1}{2}=-3$

A) 7
B) 5
C) -5
D) -7

Question 66

Solve.

- $12 \mathrm{x}+7 \mathrm{x}=114$

A) 95
B) 6
C) $\frac{19}{14}$
D) $\frac{19}{2}$

Question 67

Solve.

- $-5 x-8 x=65$

A) -4
B) -5
C) 78
D) 5

Question 68

Solve.

- $6 y+4=4 y$

A) -2
B) $\frac{2}{5}$
C) $-\frac{2}{5}$
D) 2

Question 69

Solve.

- $9 \mathrm{x}+4=2 \mathrm{x}+53$

A) 7
B) $\frac{49}{11}$
C) 9
D) $\frac{57}{11}$

Question 70

Solve.

- $9 \mathrm{x}-2=142-7 \mathrm{x}$

A) 9
B) 72
C) 70
D) -9

Question 71

Solve.

- $8 y-5=58+y$

A) 9
B) 7
C) $\frac{53}{7}$
D) $\frac{53}{9}$

Question 72

Solve.

- $1-10 \mathrm{x}=5 \mathrm{x}-8 \mathrm{x}-20$

A) $\frac{19}{13}$
B) 3
C) $\frac{20}{13}$
D) $\frac{20}{7}$

Question 73

Solve.

- $-7 a+5+8 a=6-29$

A) 28
B) -28
C) -40
D) 40

Question 74

Solve.

- $-9 b+1+7 b=-3 b+6$

A) -1
B) 6
C) -6
D) 5

Question 75

Solve.

- $8 \mathrm{x}-5+8 \mathrm{x}=5 \mathrm{x}+21-2 \mathrm{x}$

A) 4
B) 3
C) 1
D) 2

Question 76

Solve. Clear fractions first.

- $\frac{1}{18} y-1=2$

A) 56
B) -54
C) 54
D) -56

Question 77

Solve. Clear fractions first.

- $\frac{5}{3} y-15=-10$

A) 3
B) -3
C) 15
D) 1

Question 78

Solve. Clear fractions first.

- $x+\frac{1}{2} x=21$

A) 7
B) 17
C) 14
D) 42

Question 79

Solve. Clear fractions first.

- $\frac{2}{5} \mathrm{x}-\frac{1}{3} \mathrm{x}=5$

A) 75
B) -150
C) -75
D) 150

Question 80

Solve. Clear fractions first.

- $\frac{6}{7}+\frac{1}{8} x=4$

A) $-\frac{7}{4}$
B) $\frac{176}{7}$
C) $\frac{160}{7}$
D) $-\frac{16}{7}$