Steps 4,5,6
ALL Steps
Types of Solutions
Word Problems
Geometry
100

Solve for x.

3x+5=26

x=7

100

Solve for x.

2(x+5)=8

x=-1

100

How many solutions does the following equation have?

5x+4 = 4+5x

infinite solutions

100

Write an equation for the following problem.

A Costco membership costs an initial fee of $50 and $10 per month. Your bill was $110. How many months have you been a member?

50 + 10m = 110

100
Two or more angles that have a sum of 180 degrees.

Supplementary angles

200

Solve for x.

8x-25=-1

x=3

200

Solve for x.

3(2x+6) + 3x = -54

x=-8

200

What does the missing term need to be for this equation to have no solution?

7x - 12 = 10 + ?

7x

200

Write an equation for the following problem.

The length of a rectangle is 3 times as long as the width. If the perimeter is 72 inches, how long is each side?

w + 3w + w + 3w = 72

200

Draw an example of alternate interior angles.

Answers will vary.

300

-8x2 - 19= -147

x=4,-4

300

6x2 - 4(x2+2) = 3(5+x2) - 32

x = 3, -3

300

What does the missing term need to be for this equation to have infinite solutions?

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

-12

300

Find 3 consecutive numbers whose sum is 42

13, 14, 15

300

Two complementary angles are 2x+3 and 6x+7. What are the measurements of the two angles?

23 degrees and 67 degrees

400

Solve for x.

(1/2) + (5/2)x = (19/8)

x = 3/4

400

Solve for x.

2.5(4x+7) - x = 1 - 2(2.75x+8)

x=-2.24

400

How many solutions does the following equation have?

-5(m-4) + 6 = 7m + 2(3m-8)

one

400

The sum of Suzie and Jackie's age is 39. If Suzie is 3 years younger than twice Jackie's age, how old are Suzie and Jackie?

Suzie is 25. Jackie is 14.

400

Two vertical angles are 2x+15 and 5x-135. What is the measurement of the vertical angles?

115 degrees

500

Solve for x.

2x2 + (7/8) = 1

x= 1/4, -1/4

500

(1/2)x + (3/5)*(x-1/4) =2x - (3/8)*(4x+3/4)

x= -7/32

500

How many solutions does the following equation have?

2(8p+2) - 10p = 2(3p+2)

infinite solutions

500

UPS charges $7 for the first pound and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds will it take for UPS and FedEx to cost the same?

21 pounds

500

Two alternate exterior angles are 4x+16 and 5x-20. What are the measurements of the angles?

Each angle is 160 degrees.

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