Free Printable Solving Eq's & Simple Quads HW

1.

Which order of steps correctly solves the following equation for k?

24-k=16

a)

Add 24 to both sides, then divide both sides by -1.

b)

Add 24 to both sides, then add 1 to both sides.

c)

Subtract 24 from both sides, then divide both sides by -1.

d)

Subtract 24 from both sides, then add 1 to both sides.

2.

Solve for m:

-7m+9=m+1

(Only type a numerical answer. Ex: 9)

(a)

3.

Solve for y:

2\left(y-4\right)=5\left(y-7\right)

(Only type a numerical answer. Ex: "2")

(a)

4.

Solve for x:

7x-8-3x=40

a)

$\frac{24}{5}$

b)

12

c)

-12

d)

$\frac{1}{12}$

5.

Is this equation always, sometimes, or never true? Why? $-6x+5=-6x-9$

a)

always because -6x is on both sides of the equation

b)

sometimes bc both sides of the equation have -6x but $5\ne-9$

c)

never bc both sides of the equation have -6x but $5\ne-9$

6.

Solve for m: $\frac{4}{m}=\frac{2}{9}$

(Only type a numerical answer. Ex: 2)

(a)

7.

Which two steps will completely solve the equation for x: $8-\frac{x}{2}=-6$

a)

1. Subtract 8 from both sides

2. Multiply both sides by -2

b)

1. Subtract 8 from both sides

2. Divide both sides by -2

c)

1. Subtract 8 from both sides

2. Multiply both sides by 2

d)

1. Add 8 to both sides

2. Multiply both sides by -2

8.

Solve for x: $6-2\left(3x-1\right)=5+3\left(2x+4\right)$

a)

$\frac{-21}{12}$

b)

no solution

c)

$\frac{-1}{3}$

d)

$\frac{-3}{4}$

e)

$\frac{-4}{3}$

9.

Select the two steps that will correctly solve the literal equation: $P=2L+2W;\ for\ W$

a)

Step1: Divide both sides by 2

b)

Step1: Subtract 2L from both sides

c)

Step2: Divide both sides by 2

d)

Step2: Subtract 2L from both sides

e)

Step1: Add 2L to both sides

10.

Check all the equations that are equivalent to: $y=\frac{C-Ax}{B}$

a)

$y=\frac{-Ax+C}{B}$

b)

$y=\frac{Ax-C}{B}$

c)

$y=\frac{-Ax}{B}+\frac{C}{B}$

d)

$y=\frac{Ax}{B}-\frac{C}{B}$

e)

$y=\frac{C}{B}-\frac{Ax}{B}$

11.

The length of a rectangle is 3 inches greater than its width. The perimeter is 28 inches. Find the dimensions of the rectangle.

a)

L = 5.5 in

W = 8.5 in

b)

L = 8.5 in

W = 5.5 in

12.

Two planes left an airport at the same time. One flew north at a set speed and the other flew south at one-and-a-half times the speed of the other plane. Three hours later the planes were 2400 miles apart. How fast was each plane flying?

a)

north plane @ 320 mph

south plane @ 480 mph

b)

north plane @ 480 mph

south plane @ 320 mph

c)

None of the above.

13.

The measure of the supplement of an angle is $24\degree$ more than three times the measure of the original angle. Find the measures of the angles.

*Hint: Supplementary angles add up to $180\degree$

a)

Original angles = $39\degree$

Supplement Angle =

141\degree

b)

Original angles = $141\degree$

Supplement Angle =

39\degree

14.

Solve for x:

-3\left(5x-2\right)=6

a)

$\frac{-8}{15}$

b)

$\frac{12}{15}$

c)

0

d)

none of the above

15.

Solve for x:

1.3x+5=-5.4

a)

8

b)

-8

c)

$\approx-.31$

d)

$-16.7$

16.

Solve for x:

x^2-19=30

a)

$\pm7$

b)

$\pm6$

c)

7

d)

-7

17.

Determine the real solutions for k:

k^2+19=-30

a)

all real solutions

b)

no real solutions

c)

$\pm7$

d)

some real solutions

18.

Solve for h:

\left(h-8\right)^2=100

a)

8

b)

-2

c)

$\pm\sqrt{108}$

d)

18; -2

19.

Solve for g:

64g^2=25

a)

$\frac{25}{64}$

b)

$\frac{5}{8}$

c)

$\pm\frac{5}{8}$

d)

$\pm\frac{25}{64}$

20.

Solve for y:

(Only type a numerical answer. Ex: 9)

-7y-24=-129

(a)

Solving Eq's & Simple Quads HW

Total questions: 20

Worksheet time: 5hrs 0mins

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