Linear Equations
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Quadratic equations
Word problems
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100

3x+5=8

What is x=1?

100

2x-3=5x+6

What is x=-3?

100

x2-7x+10=0

What are x=2 and x=5?

100

Ming won 121 lollipops playing basketball at her school's game night. Later, she gave four to each of her friends. She only has 9 remaining. How many friends does she have?

Ming has got 28 friends

100

Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $21, then how many games did Shakira bowl?

She played 4 games

200

2(x+1)-x=7

What is x=5?

200

-7+5(x+1)=5x-2

What is an identity?

200

x2-3x=0

What are x=0 and x=3?

200

Anthony received $150 for his birthday this year.  This was $10 less than half the amount he received last year.  How much money did Anthony receive for his birthday last year?

He received $320 last year

200

Jasmine is 5 years younger than twice her sister’s age.  If Jasmine’s sister is 22 years old.  Then, how old is Jasmine?

Jasmine is 39 years old

300

2(x − 1) = 4(2x − 3)

What is x=5/3?

300

(3x+8)/3 = (2x-1)/6

What is x=-17/4?

300

(2x-3)2=1

What are x=1 and x=2?

300

The length of a rectangle is 4 cm more than its width.
The area of the rectangle is 96 cm2. Find its dimensions

The length is 12 cm and the width 8 cm.

300

The perimeter of a rectangle is 30 cm. Its area is 54 cm2. Find the dimensions of this rectangle

Its dimensions are 6 cm and 9 cm.

400

(2x-1)/3 + (x+5)/5 = 2

What is x=2?

400

(x-1)/2 - (x-4)/3 = 1

What is x=1?

400

(2x+1)(x+1)=(x-2)(x+2)+3

What are x=-1 and x=-2?

400

This week, Jamyra spent a total of 100 minutes studying. This total was 8 more than four times the amount of minutes she studied last week.  How many minutes did Jamyra spend studying last week?

Jamyra studied 23 minutes last week

400

At a pizza eating competition, Davonne ate two more than twice as many slices as the runner-up.  If Davonne ate 10 slices, then how many slices did the runner-up eat?

The runner-up ate 4 slices

500

3[6x-5(x-3)]=15-3(x-5)

What is x=-5/2?

500

(1-x)/3 - (x-1)/12 = (3x-1)/4

What is x=4/7?

500

(2-x)2+x=x(2-x)+7

What are x=3 and x=-1/2?

500

A rectangular picture has a height that is 5/7 of its width. Its area is 140 square inches. What are the dimensions of the picture?

The dimensions of the rectangle are:

width: 14 inches

length: 10 inches

500

The ages of three family children can be expressed as consecutive integers. The square of the age of the youngest child is 4 more than eight times the age of the oldest child. Find the ages of the three children.

The three children are 10, 11 and 12 years old.

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