Unit 7 Practice Test - Expressions

29) Jacob thinks that x+x and x^2 are equivalent expressions because they each have a value of 4 when x=2. Which statement best demonstrates whether Jacob is correct?

• Jacob is not correct because the two expressions do not have the same value at x=1.

• Jacob is not correct because the expressions can never be equivalent if they use different operations.

• Jacob is correct because the two expressions are also equivalent when x=0..

• Jacob is correct because x+x  is the same as 2x, and 2x is the same as x^2.

30) Averie and Amisha each have a favorite pancake recipe. 

* Averie’s recipe uses 7 1/2 cups of flour for 6 batches.

* Amisha’s recipe uses 1/2 cup of flour more per batch than Averie’s recipe uses per batch. 

Which expression can be used to determine the number of cups of flour used to make x batches of Amisha’s pancake recipe?

31) This soccer season, Gavin scored 10 fewer than 4 times the number of goals that Rico scored. Rico scored 8 goals. The value of which expression is equivalent to the number of goals Gavin scored this soccer season?

• 2(14-3)

• 2(8-4)

• 8(10-4)

• 4(32-8)

32) Eliza goes to the store to buy a sweatshirt. The store is having a sale for 40% off the original price of the sweatshirts. Eliza also has a $15-off coupon she will use to buy the sweatshirt. The expression below can be used to find her final price for a sweatshirt with an original price of p dollars. 

0.6p-15

The sweatshirt Eliza decides to buy has an original price of p=$74.99. What is the final price of the sweatshirt Eliza is buying?

• $29.99

• $35.99

• $59.99

• $65.99

33) Each weekday, a factory produces 12 cases of sneakers and 10 cases of slippers. The expression 5(12+10) represents the total number of cases produced each week by the factory. Which expression also represents the total number of cases produced each week by the factory?

• 17+10

• 17+15

• 60+10

• 60+50

34) Mrs. Seager’s daughter is y years old. Mrs. Seager’s age, in years, can be represented by the expression 8y-6. Which expression also represents Mrs. Seager’s age, in years?

• 2(4y-3)

• 2(4y-6)

• 4(2y-2)

• 4(2y-6)

35)  Which expression uses exactly three terms and is equivalent to 5(3+g+g+h)?

• 15+5g+5g+5h

• 8+5g+5g+5h

• 15+10g+5h

• 8+10g+5h

36) Which expression has the least value?

37) An algebraic expression is described below.

eight more than the product of three times the difference between x and 2

What is the value of the expression when x=5?

• 13

• 17

• 21

• 33

38) The table below shows information about the total weekly costs to display advertisements on a website and in a newspaper.

Based on the information shown in the table, which expression can be used to determine the weekly cost, in dollars, of m website and p newspaper advertisements?

• 220m+135p

• 135m+220p

• 355+m+p

• 355mp