Free Printable Midterm Review: Literal Equations

1.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

2.

Solve for y:
5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

3.

Solve the equation for w. ^{x = w / a}

a)

w = a / x

b)

w = x / a

c)

w = ax

d)

x = wa

4.

Solve the equation for d.
d / t = r

a)

d = r / t

b)

d = t / r

c)

d = rt

d)

d = r - t

5.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

6.

S = 3F - 24 Solve for F

a)

F = (S + 24)/3

b)

F = S/3 + 24

c)

F = 3S + 24

d)

F = 3(S + 24)

7.

Solve:
C = 2πr, for r

a)

C/(2π) = r

b)

C + 2π = r

c)

C - 2π = r

d)

2πC = r

8.

a = b + c , for c

a)

c = a - b

b)

c = a + b

c)

c = ab

d)

c = a / b

9.

Solve for x:
ax - b = c+d

a)

x = a(c + d + b)

b)

x = (c + d) / (a-b)

c)

x = a / (c + b + d)

d)

x= (c + b + d)/a

10.

Which expression represents the value of x in the equation:
dx + e = f

a)

x = (f + e)/d

b)

x = (f - e)/d

c)

x = d/(e - f)

d)

x = d/(e + f)

11.

pV = nRT

solve for n

a)

n= pV/RT

b)

n= p/R + V/T

c)

n= pV - RT

d)

n= (pV-R)/T

12.

Inverse of
division

a)

addition

b)

equals

c)

subtraction

d)

multiplication

13.

Solve for x:

a)

x = yb - v

b)

x = by - v

c)

x = by + v

14.

Solve the literal equation for the given variable.

a)

2A/h

b)

2/(h)

c)

2Ah

d)

Ah/2

15.

$-3x\ +2c\ =\ 3\ \ \ \ \ \ \ \ solve\ for\ x$

a)

$x=\frac{3-2c}{-3}$

b)

$x\ =\ 6+2c$

c)

$x\ =\ 6-2c$

d)

$x\ =\ \frac{3+2c}{3}$

16.

$\ u\ =\ bak\$ Solve for a

a)

$a=\frac{u}{bk}$

b)

$a\ =\ \frac{bk}{u}$

c)

$a\ =\ -\frac{bk}{u}$

d)

$a=-\frac{u}{bk}$

17.

Solve for a: $u\ =\ \frac{\left(ak\right)}{b}$

a)

a = ukb

b)

a = uk + b

c)

$a\ =\ \frac{\left(ub\right)}{k}$

d)

$a\ =\ \frac{k}{ub}$

18.

$Given\ ax-b=c,\ solve\ for\ x.\$

a)

$x\ =\ \frac{c+b}{a}$

b)

$x\ =\ \frac{c-b}{a}$

c)

$x\ =\ \frac{a+b}{c}$

d)

$x\ =\ \frac{c+a}{b}$

19.

$Given\ xy\ +\ w\ =\ 9,\ solve\ for\ y.$

a)

$y=\frac{9+w}{x}$

b)

$y=\frac{9-x}{w}$

c)

$y=\frac{9-w}{x}$

d)

$y=\frac{9+x}{wy}$

20.

$Given\ d=rt,\ solve\ for\ r.\$

a)

$r=\frac{t}{d}$

b)

$t\ =\ \frac{d}{r}$

c)

$d=\frac{r}{t}$

d)

$r=\frac{d}{t}$

21.

$Given\ mx+4y=3t,\ solve\ for\ x.$

a)

$x=\ \frac{3t+4y}{m}$

b)

$x=\frac{3t-4y}{m}$

c)

$x=\frac{3m-4y}{t}$

d)

$x=\frac{3y+4t}{m}$

22.

$Given\ V=lwh,\ solve\ for\ l.$

a)

$l=\frac{Vw}{h}$

b)

$l=\frac{V}{wh}$

c)

$l=\frac{Vh}{w}$

d)

$l=\frac{wh}{V}$

23.

$Given\ 5x-y=16,\ Solve\ for\ y.$

a)

$-y=5x+16$

b)

$x=5y-16$

c)

$y=5x+16$

d)

$y=5x-16$

24.

$Solve:\ C=2\pi r,\ for\ r$

a)

$r=\frac{C}{2\pi}$

b)

$r=C+2\pi$

c)

$r=C-2\pi$

d)

$r=2\pi C$

25.

$Solve\ C=\frac{5}{9}\left(F-32\right),\ for\ F.$

a)

$F\ =\ \frac{5}{9}C+32$

b)

$F\ =\ \frac{5}{9}C-32$

c)

$F\ =\ \frac{9}{5}C-32$

d)

$F\ =\ \frac{9}{5}C+32$

26.

$Solve\ 3b=6v-3b,\ for\ b.$

a)

$6b-6$

b)

$b-6$

c)

$0$

d)

$6$

27.

$Solve\ ax-5=b,\ for\ a.$

a)

$a=x\left(b+5\right)$

b)

$a=\frac{\left(b+5\right)}{x}$

c)

$a=\frac{\left(b-5\right)}{x}$

d)

$a=x\left(b-5\right)$

28.

$Given\ 8x+4y=16,\ solve\ for\ y.$

a)

$y=-2x+4$

b)

$y=-8x+16$

c)

$y=2x-4$

d)

$y=-8x+12$

29.

$Solve\ y\ =\ mx\ +\ b\ for\ x.$

a)

$x=\frac{\left(y-b\right)}{m}$

b)

$x\ =\ y-\frac{b}{m}$

c)

$x=\frac{y}{m}-b$

30.

Solve for y:
5x + y = -10

a)

y = 5x + 10

b)

y = -5x - 10

c)

y = 2

d)

y = -5

31.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

32.

Solve for y:
4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

33.

Solve for y
5x - y = 6

a)

y= 5x-6

b)

Y= -5X +6

c)

Y=5X+6

d)

Y=-5X-6

34.

Solve for y:
3y -9 = 18x

a)

y=6x-3

b)

y=2x-3

c)

y=-6x+3

d)

y=6x+3

35.

Solve for y:
7x+ 2y = 20

a)

y= 7/2x + 10

b)

y=-7/2x + 10

c)

y=2/7 x- 10

d)

y= -2/7x + 10

36.

6x + y = 10

a)

y = 6x + 10

b)

y = -6x + 10

c)

y = 6x -10

d)

y = -6x - 10

37.

Solve for y: y-20= -2(x+8)

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

38.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = 2x + 3

c)

y = -2x + 3

d)

y = -3x + 2

39.

What are the x- and y -intercepts on this graph?

a)

(0,5), (0,5)

b)

(5,0), (5,0)

c)

(5,0), (0,5)

d)

(0,0), (5,0)

40.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

41.

What is the slope and y-intercept of the linear function given by the equation x - 2y = 7

a)

m = 1/2, b = 7

b)

m = 1, b = -7

c)

m = 2, b = 7/2

d)

m = 1/2, b = -7/2

42.

Write the slope intercept form of the equation 11x - 8y = -48

a)

y = -11/8x + 6

b)

y = 11/8x - 6

c)

y = 11/8x + 6

d)

y = -11/8x - 6

43.

Write the slope intercept form of the equation 3x - 2y = -16

a)

y = -3x - 8

b)

y = -3x + 8

c)

y = -3/2x - 8

d)

y = 3/2 x + 8

44.

Give the y-interecept

3x + y = 5

(Remember that to find the y-intercept, you need to make the x value a 0.)

a)

(-3, 0)

b)

(0,5)

c)

(-5, 0)

d)

(0, -3)

45.

Give the x-intercept

3x + 8y = 24

(Remember that to find the x-intercept, you need to make the y value a 0.)

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

46.

What is the slope of the line represented by the equation y = 3x + 6?

a)

6

b)

3

c)

2

d)

1/2

47.

What is the slope of the line represented by the equation y = 7 - x?

a)

7

b)

0

c)

1

d)

-1

48.

What is the slope of the line represented by the equation y = -9?

a)

0

b)

-9

c)

9

d)

1

49.

What is the slope of the line represented by the equation x = 5?

a)

0

b)

1

c)

undefined

d)

5

50.

What is the y-intercept of the line represented by the equation y = 2x - 11?

a)

2

b)

-2

c)

11

d)

-11

51.

What is the y-intercept of the line represented by the equation y = 6x?

a)

6

b)

0

c)

-6

d)

1

52.

What is the y-intercept of the line represented by the equation y = 8?

a)

8

b)

0

c)

-8

d)

There is no y-intercept

53.

What is the y-intercept of the line represented by the equation x = 2?

a)

1

b)

0

c)

2

d)

There is no y-intercept

54.

The graph of x = -1 would be a horizontal line.

a)

True

b)

False

55.

The graph of y = x would pass through the origin.

a)

True

b)

False

56.

Which equation represents the graph pictured?

a)

y = 1x + 3

b)

y = 3x + 1

c)

y = 1/3x + 1

d)

y = -3x + 1

57.

Which equation represents the graph pictured?

a)

y = -2x - 6

b)

y = 2x - 6

c)

y = 1/2x - 6

d)

y = -1/2x - 6

58.

Which equation represents the graph pictured?

a)

y = 2x + 10

b)

y = 10x + 2

c)

y = 1/2x + 10

d)

y = 1/2x + 2

59.

Which equation represents the graph pictured?

a)

y = 2x + 2

b)

y = -2x + 2

c)

y = -1/2x + 2

d)

y = 1/2x + 2

60.

Which equation represents the graph pictured?

a)

y = -2

b)

x = -2

c)

y = -2x

d)

y = x - 2

61.

Which equation represents the graph pictured?

a)

y = 3

b)

x = 3

c)

y = 3x

d)

y = x + 3

62.

If your slope is -5, then it is the same as

a)

$\frac{5}{1}$

b)

$\frac{-5}{-1}$

c)

$\frac{5}{-1}$

d)

$\frac{1}{-5}$

63.

What is the slope of this line?

a)

2/3 Up two, right 3

b)

-2/3 Down 2, right 3

c)

-3/2 Down three, right 2

d)

3/2 Up three, right 2

64.

Which equation shows a slope of -2 and the y-intercept of 3?

a)

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

b)

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

c)

y = 3x - 2

d)

y = 3x + 2

e)

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

65.

Which graph below shows a positive slope?

a)

b)

c)

d)

66.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

Midterm Review: Literal Equations

Total questions: 66

Worksheet time: 2hrs 12mins

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