Deck 6: Equations and Formulas

Question 1

Solve the equation and check. $- 2 x = - 10$

A) x = 5
B) x = -5
C) x = -7
D) x = 7
E) x = 6

Answer 1

x = 5

Question 2

Solve the equation. $x + 9 = 4$

A) x = -5
B) x = 5
C) x = -7
D) x = -6
E) x = 13

Answer 2

x = -5

Question 3

Solve the equation and check. $\frac { y } { 17 } = 3$

A) 60
B) 51
C) 45
D) 53
E) 48

Answer 3

51

Question 4

Solve the equation and check. $38 - 7 y = 88$

A) $y = 6 \frac { 1 } { 7 }$
B) $y = - 6 \frac { 1 } { 6 }$
C) $y = - 6 \frac { 1 } { 7 }$
D) $y = \frac { 50 } { 7 }$
E) $y = - 7 \frac { 1 } { 7 }$

Question 5

Solve the equation and check. $x - 8 = 2$

A) x = 11
B) x = 10
C) x = 7
D) x = 8
E) x = -6

Question 6

Solve the equation and check. $\frac { x } { 4 } - 9 = 5$

A) x = 56
B) x = 58
C) x = 29
D) x = 57
E) x = 16

Question 7

Solve the equation and check. $8 x - 4 = 13$

A) $x = 2 \frac { 1 } { 4 }$
B) $x = 3 \frac { 1 } { 8 }$
C) $x = 2 \frac { 1 } { 8 }$
D) $x = 3 \frac { 1 } { 4 }$
E) $x = 1 \frac { 1 } { 8 }$

Question 8

Solve the equation and check. $2 m = 77.4$

A) m = 38.7
B) m = 41.5
C) m = 40.4
D) m = 36.2
E) m = 37.7

Question 9

Solve the equation and check. $- x = 25$

A) x = -25
B) x = 26
C) x = 29
D) x = -30
E) x = 25

Question 10

Solve the equation and simplify your answer. Check your answer using the original equation. $\frac { 2 } { 5 } n = 8$

A) 20
B) 19
C) -17
D) -20
E) 21

Question 11

Solve the equation. $24 - 12 c = - 6$

A) c = 6.5
B) c = 2.5
C) c = 1
D) c = 7.5
E) c = 1.5

Question 12

Solve the equation and check. $64 m = 0$

A) m = 3
B) m = -3
C) m = -64
D) m = 0
E) m = -6

Question 13

Solve the equation and check. $\frac { x } { 23 } = 1.5$

A) x = 36.5
B) x = 35.5
C) x = 23
D) x = 34.5
E) x = 25

Question 14

Solve the equation and check. $\frac { r } { 18 } + 2 = 4$

A) $r = 25$
B) $r = \frac { 1 } { 9 }$
C) $r = 36$
D) $r = \frac { 1 } { 3 }$
E) $r = 113$

Question 15

Solve the equation and check. $25 = - 5 - 17 s$

A) $s = \frac { 20 } { 17 }$
B) $s = - \frac { 17 } { 20 }$
C) $s = - \frac { 3 } { 17 }$
D) $s = \frac { 30 } { 17 }$
E) $s = - \frac { 30 } { 17 }$

Question 16

Solve the equation and check. $21 - s = 28$

A) s = -49
B) s = 6
C) s = 5
D) s = -7
E) s = 7

Question 17

Solve the equation and check. $y + 16 = 6$

A) y = 22
B) y = -10
C) y = -9
D) y = 10
E) y = 8

Question 18

Solve the equation and check. $7 x - 56 = 14$

A) x = 11
B) x = 8
C) x = 10
D) x = 3
E) x = -6

Question 19

Solve the equation and check. $2 x - 64 = 0$

A) x = 29
B) x = 33
C) x = -32
D) x = 30
E) x = 32

Question 20

Solve the equation and check. $7 - 6 w = - 101$

A) w = 20
B) w = 18
C) w = 19
D) w = 21
E) w = 16

Question 21

Solve the equation and check. y = __________

Question 22

Solve the equation and check. x = __________

Question 23

Solve the equation and check. $- 6 x + 4 = 2 x - 1$

A) $x = \frac { 11 } { 1 }$
B) $x = \frac { 8 } { 5 }$
C) $x = \frac { 1 } { 10 }$
D) $x = \frac { 1 } { 11 }$
E) $x = \frac { 5 } { 8 }$

Question 24

Solve the equation and check. x = __________

Question 25

Solve the equation and check. x = __________

Question 26

Solve the equation and check. y = __________

Question 27

Solve the equation and check. $5 x + 7 = 7 x - 1$

A) x = 6
B) x = 7
C) x = 4
D) x = 3
E) x = 5

Question 28

Solve the equation and check. Give your answer as a fraction. $20 = - 4 - 17 t$

Question 29

Solve the equation and check. $2 x - 2 = 3 x - 15$

A) x = 14
B) x = 17
C) x = 13
D) x = 10
E) x = 11

Question 30

Solve the equation and check. Give your answer as a mixed number. $38 - 2 y = 43$

Question 31

Solve the equation and check. x = __________

Question 32

Solve the equation and check. x = __________

Question 33

Solve the equation and check. 2y - $24$ = - y

A) y = 3
B) y = 11
C) y = 8
D) y = 9
E) y = 12

Question 34

Solve the equation and check. Give your answer as a mixed number. $9 x - 9 = 2$

Question 35

Solve the equation and check. m = __________

Question 36

Solve the equation and check. y = __________

Question 37

Solve the equation and check.  

Question 38

Solve the equation and check. r = __________

Question 39

Solve the equation and check. w = __________

Question 40

Solve the equation and check. x = __________

Question 41

Solve the equation and check. $- 5 x + 54 = 13 x - 18$

A) x = 6
B) x = 1
C) x = 3
D) x = 2
E) x = 4

Question 42

Solve the equation and check. $5 x + 3 = 2 x - 27$

A) x = -13
B) x = 13
C) x = -8
D) x = -9
E) x = -10

Question 43

Solve the equation and check. $3 x + 13 = 2 x - 14$

A) x = -30
B) x = 32
C) x = -27
D) x = -28
E) x = -32

Question 44

Solve the equation and check. 4x = 2x - $28$

A) x = -17
B) x = -19
C) x = -13
D) x = -14
E) x = 19

Question 45

Solve the equation and check. x = __________

Question 46

Solve the equation and check. x = __________

Question 47

Solve the equation and check. 3x - 10 = 5x - 20

A) x = 4
B) x = 5
C) x = 23
D) x = 15
E) x = 8

Question 48

Solve the equation and check. $- 9 y + 6 = 6 y - 9$

A) y = 1
B) y = 4
C) y = 7
D) y = 3
E) y = 2

Question 49

Solve the equation and check. $- 3 x + 17 = 6 x - 55$

A) x = 7
B) x = 13
C) x = 8
D) x = 10
E) x = 5

Question 50

Solve the equation and check. $17 x + 4 = 10 x - 3$

A) x = 6
B) x = 1
C) x = -4
D) x = -5
E) x = -1

Question 51

Solve the equation and check. x = __________

Question 52

Solve the equation and check. $3 x - 1 = 7 x - 21$

A) x = 5.5
B) x = 5
C) x = 6
D) x = 7
E) x = 2.5

Question 53

Solve the equation and check. $6 x + 5 = 9 x - 42$

A) $x = 18 \frac { 2 } { 3 }$
B) $x = 17 \frac { 2 } { 3 }$
C) $x = 19 \frac { 2 } { 3 }$
D) $x = 14 \frac { 2 } { 3 }$
E) $x = 15 \frac { 2 } { 3 }$

Question 54

Solve the equation and check. $21$ + 5x = $7$ + 3x

A) x = -7
B) x = -4
C) x = -2
D) x = 2
E) x = -6

Question 55

Solve the equation and check. x = __________

Question 56

Solve the equation and check. $4$ x + $4$ = $9$ x - $17$

A) $x = 4 \frac { 1 } { 5 }$
B) $x = 8 \frac { 1 } { 5 }$
C) $x = 3 \frac { 1 } { 5 }$
D) $x = 1 \frac { 1 } { 5 }$
E) $x = 6 \frac { 1 } { 5 }$

Question 57

Solve the equation and check. $3 x - 12 = 7 x - 80$

A) x = 17
B) x = 23
C) x = 20
D) x = 15
E) x = 16

Question 58

Solve the equation and check. - 4x + $35$ = 6x - $7$

A) x = 10
B) x = 8
C) x = 4
D) x = 9
E) x = 11

Question 59

Solve the equation and check. $- 14 y + 8 = 8 y - 14$

A) y = -1
B) y = 5
C) y = 9
D) y = 6
E) y = 1

Question 60

Solve the equation and check. $14 y + 5 = 20 y - 1$

A) y = 1
B) y = 8
C) y = 5
D) y = 3.2
E) y = 4

Question 61

Solve the equation and check. x = __________

Question 62

Solve the equation and check. x and y = __________

Question 63

Given the formula: $L = \pi \left( r _ { 1 } + r _ { 2 } \right) + 2 d , L = 56.97 , d = 5.46 , r _ { 2 } = 6$ Find $r_ { 1}$ .

A) $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.76$
B) $r _ { 1 } = \pi ( L - 2 d ) - r _ { 2 } = 139$
C) $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.65$
D) $r _ { 1 } = \frac { L - 2 d } { \pi } - r _ { 2 } = 8.66$
E) $r _ { 1 } = \frac { L } { \pi } + 2 d - r _ { 2 } = 23.1$

Question 64

Given the formula: A = P + Prt, $r = 0.06 , P = \$ 5,900 , A = \$ 7,025$ . Find t.

A) $t = \frac { r ( A - P ) } { P } = 0.0114$
B) $t = \frac { A + P } { r P } = 37$
C) $t = \frac { A - P } { r P } = 18,750$
D) $t = \frac { A - 1 } { r } = 117,067$
E) $t = \frac { A - P } { r P } = 3$

Question 65

Given the formula: $I = \frac { V } { R }$ R = 79, I = 4.1. Find V.

A) $V = \frac { R } { I } = 19$
B) $V = I R = 320$
C) $V = I R = 410$
D) $V = I R = 324$
E) $V = \frac { I } { R } = 0.052$

Question 66

Given the formula: $V = I R , I = 2.2 , \quad V = 5.98$ Find R.

A) $R = \frac { I } { V } = 0.368$
B) $R = \frac { V } { I } = 2.32$
C) $R = V I = 13.2$
D) $R = \frac { V } { I } = 2.72$
E) $R = \frac { I } { V } = 0.431$

Question 67

Given the formula: $E = \frac { m v ^ { 2 } } { 2 }$ E = 547,000, v = 18. Find m.

A) $m = \frac { 2 E } { \nu ^ { 2 } } = 3,380$
B) $m = \frac { 2 } { E y ^ { 2 } } = 0.00617$
C) $m = \frac { 2 E } { v } = 60,800$
D) $m = \frac { 2 E } { \nu ^ { 2 } } = 3,377$
E) $m = \frac { E } { v ^ { 2 } } = 845$

Question 68

A drill draws a current, I, of 5.7 A. The resistance, R, is 17 ?. Find its power, P, in watts. $P = I ^ { 2 } R$

A) $P = 552 \quad W$
B) $P = 567 \quad \mathrm {~W}$
C) $P = 556 \quad W$
D) $P = 549 \quad W$
E) $P = 194 W$

Question 69

Given the formula: $V = \frac { 1 } { 2 } L w ( D + d ) , \quad V = 437.5 , \quad L = 6 , \quad w = 8.5 , \quad D = 8$ Find d.

A) $d = \frac { 2 V } { L w } - D = 9.16$
B) $d = \frac { V } { 2 L w } - D = 3.71$
C) $d = \frac { 2 V } { L w } - D = 9.56$
D) $d = \frac { L w } { 2 V } - D = 0.1$
E) $d = \frac { L w } { 2 V } - D = 0.11$

Question 70

Solve the equation and check. $6 x + 1 = 9 x - 16$

Question 71

Given the formula: $V = \frac { \pi r ^ { 2 } h } { 3 }$ V = 763.8, r = 4. Find h.

A) $h = \frac { 3 V } { \pi r ^ { 2 } } = 45.6$
B) $h = \frac { 3 V r ^ { 2 } } { \pi } = 11,700$
C) $h = \frac { 3 \pi V } { r ^ { 2 } } = 450$
D) $h = \frac { 3 V } { \pi r } = 182$
E) $h = \frac { \pi r ^ { 2 } } { 3 \mathrm {~V} } = 0.0219$

Question 72

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , \quad A = 6,309 , \quad h = 13.0 , \quad b = 546$ Find a.

A) $a = \frac { A } { 2 h } - b = - 303$
B) $a = \frac { 2 A } { h } - b = 425$
C) $a = \frac { A } { 2 ( h - b ) } = 27$
D) $a = \frac { A } { 2 ( h - h ) } = 106$
E) $a = \frac { A } { h } - 2 b = - 607$

Question 73

Solve the equation and check. $2 x + 4 = 7 x - 15$

Question 74

Given the formula: $S = \frac { n } { 2 } ( a + l ) , S = 629 , n = 27 , l = 29$ Find a.

A) $a = \frac { n - l } { 2 S } = 0.064$
B) $a = \frac { 2 S } { n } - l = 18$
C) $a = \frac { S } { n } - 2 l = 16$
D) $a = \frac { n - l } { 2 S } = 0.057$
E) $a = \frac { S } { 2 n } - l = 17$

Question 75

Given the formula: y = mx + b, $x = 4 , y = 5 , b = 4$ Find m.

A) $m = \frac { y - b } { x } = - 0.2$
B) $m = \frac { x - b } { y } = 0.0$
C) $m = \frac { b - x } { y } = 0.0$
D) $m = \frac { b - y } { x } = - 0.3$
E) $m = \frac { y - b } { x } = 0.3$

Question 76

Follow the rules for working with measurements. A flashlight bulb is connected to a $1.5 - V$ source. Its current, I, is $0.29 \mathrm {~A}$ What is its resistance, R, in ohms? V = IR .

A) $R = 1.21 \Omega$
B) $R = 4.17 \Omega$
C) $R = 4.77 \Omega$
D) $R = 5.17 \Omega$
E) $R = 4.87 \Omega$

Question 77

Solve the equation and check. y = __________

Question 78

Solve the equation and check. x = __________

Question 79

Given the formula: $v _ { f } ^ { 2 } = v _ { i } ^ { 2 } + 2 g h , \quad v _ { f } = 263 , \quad v _ { i } = 0 , \quad g = 16$ Find h.

A) $h = \frac { 2 \left( v _ { f } ^ { 2 } - v _ { i } ^ { 2 } \right) } { g } = 4,320$
B) $h = \frac { 2 \left( v _ { f } ^ { 2 } - v _ { i } ^ { 2 } \right) } { g } = 8,640$
C) $h = \frac { v _ { f } ^ { 2 } - v _ { i } ^ { 2 } } { 2 g } = 2,160$
D) $h = \frac { v _ { f } ^ { 2 } - v _ { i } ^ { 2 } } { 2 g } = 2,210$
E) $h = \frac { v _ { f } ^ { 2 } - v _ { i } ^ { 2 } } { 2 g } = 2,140$

Question 80

Given the formula: $A = \frac { 1 } { 2 } h ( a + b ) , A = 2,690 , \quad h = 62 , \quad a = 43.2$ Find b.

A) $b = \frac { A } { h } - 2 a = - 43$
B) $b = \frac { A } { 2 ( h - a ) } = 10.9$
C) $b = \frac { A } { 2 ( h - a ) } = - 10.8$
D) $b = \frac { 2 A } { h } - a = 43.6$
E) $b = \frac { A } { 2 h } - a = - 21.5$