Multi Step Equations
Two-Step Equations
Solving Inequalities
Literal Equations
Word Problems
100

Solving Equations

Solve for x.

4(3x-10) + 7 = 15

What is:

x = 4

100

Solving Equations

Solve for x. 

4x + 3 = 7

What is: 

x = 1

100

Solving Inequalities

Solve for n: 

165 > -7(4n-4)-3

What is: 

n> -5

100

Solve for b:

acb - 25 = 30

b=55/ac

100

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?

What is x = 54

200

Solve the equation 

5(x+1) - 2 (3x-4) = 14

What is:

X = -1

200

Solving Equations

Solve for x.

2x - 5 = - 11

What is: 

x = -3

200

 Solve the inequality

n+3 - 2n > 5 + n - 1 + 3 

n <-2

200

Solve for g:

g/2 - h = 500

g = 2(500 + h) 

200

Brittany, her mom, and her two siblings went to a movie. The cost of her mother’s ticket was $6. Brittany’s ticket cost the same as her two siblings (under 16 rate). The total for all of them to watch the movie was $15. Write an equation to show the cost of each of the under 16 rate tickets.

What is 6 + 3c = 15

300

solve the equation:

0.2(4-5x)+1=2.4

x=-0.6

300

Solving Equations

Solve for x. 

-9x + 1 = -71

What is: 

x = 8

300

Write an inequality

S is at most 55

s <= 55

300

Solve for k: 

(jkl) / 4 +10 = 50

What is:

k = 160/(jl)

300

Equation

Jerome has $28 in his pocket. He wants to buy as many candy bars as he can for $1.75 each. Write an equation to show how many candy bars he can buy.

1.75n = 28 

Solution: n = 16

400

solve the equation

0.4(2x+3)=0.3x+0.8

What is:

x = -0.8

400

Solve for v. 

v/3 + 14 = 30

v = 48

400

Write an Inequality 


J is less than 8

J < 8


400
Solve for x: 


a(x+b)=c

x=c/a

400

Keith has $500 in a savings account at the beginning of the summer.  He wants to have at least $200 in the account by the end of summer.  He withdraws (takes out) $25 a week for his cell phone bill.

What is 500 – 25w > 200

500

Solve the Equation:

8-3(2x-5)=4(x+2)

What is:

x=1.5

500

Modeling Equations

Create an equation that represents the following expression and then solve it.

Harvey's age doubled is 6

2a = 6

a = 3

500

Modeling and Solving Inequalities

Create an inequality to represent the scenario and solve the inequality

Julie earns $7 for each car she washes. This week, she wants to save more than $56. How many cars must she wash?  

What is: 

 7c > 56

500

Solve for x:

ax = bx + c

x = (c)/(a-b)

500

Gerson has a gift card for $200 that loses $3 for each month it is not used. He has another gift card for $150 that loses $2 for each month is is not used. Assuming Gerson does not use the gift cards, write an equation to find the number of months, m, for when the value of the gift cards would be equal.

200-3m=150-2m

m=50

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