SAT Review Algebra

Which of the following ordered pairs (x, y) satisfies the system of equations?

• (3, -2)

• (2, -2)

• (-2, 2)

• (-2, -2)

A landscaping company estimates the price of a job, in dollars, using the expression 60 + 12nh, where n is the number of landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the following is the best interpretation of the number 12 in the expression?

• The company charges $12 per hour for each landscaper.

• A minimum of 12 landscapers will work on each job.

• The price of every job increases by $12 every hour

• Each landscaper works 12 hours a day.

The graph of a line in the xy plane has slope 2 and contains the point (1, 8). The graph of a second line passes through the points (1, 2) and (2, 1). If the two lines intersect at the point (a, b), what is the value of a + b?

• 4

• 3

• -1

• -4

l = 24 + 3.5m One end of a spring is attached to a ceiling. When an object of mass m kilograms is attached to the other end of the spring, the spring stretches to a length of l centimeters as shown in the equation above. What is m when l is 73 ?

• 14

• 27.7

• 73

• 279.5

When 4 times the number x is added to 12, the

result is 8. What number results when 2 times x is

added to 7 ?

• -1

• 5

• 8

• 9

A worker uses a forklift to move boxes that weigh

either 40 pounds or 65 pounds each. Let x be the

number of 40-pound boxes and y be the number of

65-pound boxes. The forklift can carry up to either

45 boxes or a weight of 2,400 pounds. Which of the

following systems of inequalities represents this

relationship?

• 
• 
• 
• 

A function f satisfies f(2) = 3 and f(3) = 5. A function g satisfies g(3) = 2 and g(5) = 6. What is the value of f(g(3)) ?

• 2

• 3

• 5

• 6

2^2x = 8^{x - 1}, what is the value of x?

• 2

• 3

• 4

• 5

If 2x + 3 = 9, what is the value of 4x - 3?

• 5

• 9

• 15

• 18

Which of the following statements must be true for all values of x, y, and z?

• I only

• I and II only

• I and III only

• II and III only