Topic 1 Exam Review: Solving Equations

Multi-Step Equations

100

Solving Equations

4x + 3 = 7

x = 1

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

-108 = -8(x + 6) - 4

x = 7

400

Solving Equations

172 = 5(4a + 6) + 2

a=7

500

Solving Equations

-93 = 7(-3k - 8) + 5

k = 2

Multi-Step Equations w/ Variables on Both Sides

100

Solving Equations

5n - 2 = 8n - 14

n = 4

200

Solving Equations

-4(-8p + 1) = -4 - 8p

p = 0

300

Solving Equations

6(6n - 2) = 8n - 40

n = -1

400

Solving Equations

{2(x-3)/3} - 9 = -5

x=9

500

Solving Equations

-5(8n - 4) - n = - 16 - 5n

n = 1

Literal Equations

100

Solve: I=Prt for t

I/pr = t

200

Solve Ax + By = C for y

y= C-Ax/B

300

(4/3)(p-q)=r 

3/4 r + q = p

400

The formula for the area of a triangle is 

A=1/2bh where A is the area, b is the length of the base, and h is the length of the height. Solve the given formula for h. 

Then, find the height of a triangle if 

A=18 in² and b= 9 in. 

h=(2A)/b

h=4 in

500

The perimeter of a park is given by the formula P=2L+2W where P is the perimeter, L is the length, and W is width. Solve the given formula for W.

The perimeter of district park is 800 feet and the length is 56 feet. What is the width of the park?

The width of the park is 344 feet.

Real Numbers

100

What are all the subsets of 8.08

Real Numbers

Rational Numbers

200

Find the subset of even numbers and subset of numbers

less than 13. What element(s) are in both subsets?

A = {5, 6, 7, 10, 11, 12, 15, 16, 17}

B = 

C = 

Element(s) in both sets: _______________________

B={6, 10, 12, 16}

C= {5, 6, 7, 10, 11, 12}

6, 10, 12

300

Find the subset of odd numbers and subset of numbers

that are multiples of 3. What element(s) are in both subsets?

A = {3, 4, 6, 7, 11, 12, 13, 15, 16, 18}

B = 

C = 

Element(s) in both sets: _______________________

B={3, 7, 11, 13, 15}

C= {3, 6, 12, 15, 18}

3, 15

400

Will the result be rational or irrational?

sqrt(36)/40 + 3/6

Rational + Rational = Rational

500

Will the result be rational or irrational?

8/3 * Sqrt(24)/8

Rational * Irrational = Irrational

Mixed Practice

100

Solve: 37=-8x-19

x= -7

200

Solve: (4x-27)/5 = 2x+3

x= -7

300

Jill wants to go surfing. The total cost, T, is represented by the equation T = 10h + A, where h is the number of hours the surfboard is rented out for and A is the sum of additional fees.

1. Solve the given formula for h: T=10h+A

2. If Jill spent $50 in additional fees and $90 in total, how many hours did she rent the surfboard for?

Sarah rented the kayak for 4 hours.

400

A. Solve for x if

5x-2y=11

x=(2y+11)/5

500

B. The area of a rhombus is given by the formula 

A=1/2*bh where A is area, b is the length of the base, and h is the length of the height. Solve the formula for h

If the area of the rhombus is 96 square inches and its base is 6 inches long, what is the height? 

x= 32