Expressions and Equations State Test Questions Review

The relationship between Robert's age, r, and Julia's age, j, can be represented by the equation shown below.

r = j + 3

Which table of values represents the relationship between Robert's age and Julia's age?

• 
• 
• 
• 

Answer explanation

r always has to be 3 years more than j

• 5.0

• 31.6

• 32.4

• 47.4

Answer explanation

Subtract 7.9 from both sides to find m

A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?

Answer explanation

231 is the total number of eggs. By subtracting 46 brown from the total, you will find the remaining number of eggs,w.ggs

Which expression is equivalent to 9(9m+3t) ?

Answer explanation

The 9 gets distributed to everything inside the parentheses. So multiply everything inside the parentheses times 9.

Ken and Tami are making necklaces. Ken makes 25 necklaces. Tami makes m more necklaces than Ken. Which expression represents the total number of necklaces Ken and Tami made?

Answer explanation

Ken already made 25, so you need to add 25 to the number that Tami makes which is 25 + m

• 10

• 15

• 19

• 27

Answer explanation

Solve inside the parentheses first, then multiply that times 3 squared. Then divide the top by 2 squared.

Which expression represents the phrase below?

3 fewer than a number, p

Answer explanation

Fewer means subtract.

Let's say p was 6. 3 fewer than 6 is 6 - 3 therefore the correct expression is p - 3

Which expression is equivalent to the phrase below?

The quotient of the sum of 2t and 2, and twice the cube of s

Answer explanation

"Twice" a number means multiplying it by 2. Cubing a number means raising it to the third power. So A and C are eliminated.

Answer explanation

First distribute (multiply) the 5 to everything inside the parentheses. Then, combine like terms so subtract 2x from the 20x.

Which two expressions are equivalent?

Answer explanation

Simplify expressions by combining like terms or distributing to determine equivalent expressions.