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Algebra I Unit 1 Test

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Last updated about 2 hours ago
20 questions
Note from the author:
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When answering problems with a single variable, such as 3x+4=7, you do not need to add the x= in your answer. Instead of x=1, you may answer the question just with the number 1.
When answering problems with a single variable, such as 3x+4=7, you do not need to add the x= in your answer. Instead of x=1, you may answer the question just with the number 1.
Question 1
1.

Solve the equation 8x+24=96

Question 2
2.

Solve the equation:

Question 3
3.

If
What is the value of 5x?

Question 4
4.

Solve the proportion:

Question 5
5.

If x = 7, what is the value of y in the equation:

Question 6
6.

Solve the equation for h, writing out the whole equation in your answer:

Question 7
7.

Translate the following verbal phrase into an algebraic expression.

10 less than a number

Question 8
8.

Translate the following verbal phrase into an algebraic expression.
Twice the sum of x and 5

Question 9
9.

Simplify:

Question 10
10.

Find the sum of:
and

Question 11
11.

If x = 6 and y = 8, find the value of:

Question 12
12.

Question 13
13.

Diana creates cross-stitch designs for people based on their favorite artworks in her spare time. She sections off 60 minutes a day specifically for cross-stitching, plus an additional 15 minutes for each commission she has that people have asked her to do. How many commissions does Diana need to complete if she has decided to cross-stitch for a total of 165 minutes today?

Question 14
14.

A rectangle has a perimeter of 24 inches. The length is 5 inches. How long is the width?

Question 15
15.

Simplify:

Question 16
16.

The equation
has infinite solutions when solving for x. What must be the value of b?

Question 17
17.

Simplify:

Question 18
18.

Solve the equation for g, writing out the full equation as your answer:

Question 19
19.

Solve the equation:

Question 20
20.

Multiply:

A number is tripled and then decreased by three. This result is equal to 5 more than the original number. Which of the following is this expressed as an equation and its solution?