Alg 1 Unit 1 Test Review: Solving Equations

Multi-Step Equations

100

1/3x+10=2

x=-24

200

Solving Equations

4(6 + 5x) = 124

x = 5

300

Solving Equations

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

x = 7

400

Write (but don't solve) an equation to represent the situation:

You earn $225 per week at your after school job. You have $135 in the bank. How many weeks, w, will it take you to earn $3060 ?

13 weeks

500

Write and solve an equation (or inequality) for this word problem:

The average of your quiz scores must be at least 90 in order to get an "A" in the class. You took two quizzes already and scored 85 and 88. What is the minimum score you must get on the third quiz in order to get an "A" in the class?

You must score at least a 97 on your third quiz in order to get an "A" in the class

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

Solve for n

3(6n - 2) = 8n - 40 + 10n

no solution

400

Solving Equations

-(5x + 4x) + 5 = 4 - 9x + 1

-5x - 4x + 5 = 4 - 9x + 1

-9x + 5 = 5 - 9x

+9x             +9x

5 = 5

infinite solutions

500

Solving Equations

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

n = 1

Literal Equations

100

Solve: a=bc for b

b=a/c

200

Solve for k

kx - 10 = 22

k=32/x

300

A rectangle's area A is found by multiplying its length L and width W

Write a formula for the rectangle's length in terms of its area and width

L=A/W

400

Solve for x: 

y=mx+b

x=(y-b)/m

500

solve for p:

4(p-q)=r

p=q+1/4r

or equivalent

Absolute Value Equations

100

 If this equation has no solution, then what kind of number is "C" ?

|x|=C

C is a negative number (absolute value cannot be negative)

200

Solve: |x| = 19

x = {19, -19}

300

|8m-8| = 40

m = {-4, 6}

400

-5|4p+4| = -40

p = {-3, 1}

500

|x - 5|+7 = 13

x = {-1, 11}

Inequalities

100

Write as an inequality:

There are at least 25 students attending the field trip.

x>=25

200

Write as an inequality: the temperature is between 80 and 90 degrees outside, inclusive (inclusive means equal to the end points)

80<=x<=90

300

-6<(x-12)/4<-2

-12<x<4

400

8x+8>=-64 and -7-8x>=-79

-9<=x<=9

500

T mobile charges $40 sign up fee plus $0.10 per text message.

Verizon charges $60 sign up fee plus $0.05 per text message.

Write (but don't solve) an inequality to represent how many text messages you must send in order for Verizon to be cheaper than T mobile.

40 + 0.10x > 60 + 0.05x