CREATING EXPRESSIONS AND EQUATIONS WORKSHEET FOR DIGITAL SAT

Problem 1 :

On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

A) 9mp        B) 20mp      C) 5 + 4 m p      D) 4 + 5 m p

Solution

Problem 2 :

A food truck sells salads for \$6.50 each and drinks for \$2.00 each. The food truck’s revenue from selling a total of 209 salads and drinks in one day was \$836.50. How many salads were sold that day?

A) 77         B) 93        C) 99          D) 105

Solution

Problem 3 :

An object travels at a constant speed of 12 centimeters per second. At this speed, what is the time, in seconds, that it would take for the object to travel 108 centimeters?

A) 9       B) 96     C) 120    D) 972

Solution

Problem 4 :

At a lunch stand, each hamburger has 50 more calories than each order of fries. If 2 hamburgers and 3 orders of fries have a total of 1700 calories, how many calories does a hamburger have?

Solution

Problem 4 :

The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900. If 30 states joined the United States between 1776 and 1849 and x states joined between 1850 and 1900, which of the following equations is true?

A) 30 = 2 x      B) 2 = 30 x     C) x/2 = 30      D) x + 30 = 2

Solution

Problem 5 :

The monthly membership fee for an online television and movie service is \$9.80. The cost of viewing television shows online is included in the membership fee, but there is an additional fee of \$1.50 to rent each movie online. For one month, Jill’s membership and movie rental fees were \$12.80. How many movies did Jill rent online that month?

A) 1        B) 2      C) 3         D) 4

Solution

Problem 6 :

b = 2.35 + 0.25x

c = 1.75 + 0.40x

In the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken?

A) \$2.60       B) \$2.85     C) \$2.95      D) \$3.35

Solution

Problem 7 :

If a 3-pound pizza is sliced in half and each half is sliced into thirds, what is the weight, in ounces, of each of the slices?

(1 pound = 16 ounces)

A) 4     B) 6       C) 8      D) 16

Solution

Problem 8 :

The density of an object is equal to the mass of the object divided by the volume of the object. What is the volume, in milliliters, of an object with a mass of 24 grams and a density of 3 grams per milliliter?

A) 0.125       B) 8      C) 21     D) 72

Solution

1) 5m + 4n

2)  number of salads is 93

3)  it will take 9 minutes.

4)  390 calories

5)  30 = x/2

6)  On that month Jill rented 2 movies.

7)  b = 3.35

8)  So, each slice will be 8 ounces.

9)  So, the volume is 8 grams.

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