SAT Heart of Algebra Review

If a = b = - 1, what is the value of (a - b)(a + b)?

• -1

• 0

• 1

• 2

If x = 10², what is the value of (4 + x)(4 - x)(1/x)?

• 168.1

• -99.84

• -159

• 152

If a/b = k and ab ≠ 0, then (a + b)/a is equal to

• k/(k + 1)

• (k + 1)/(k - 1)

• (k + 1)/k

• k + 1

If a = 3, b = - 5, and c = 3, what is the value of (a + b)^c?

• 5

• 8

• -6

• -8

A quality control inspector took a sample of x items from a production line and found that d of the items were defective. Which of the following could be the expression for the fraction of the sample that was not defective?

• d/x

• (x - d)/d

• (x - d)/x

• (d - x)x

When twice the sum of - 4x + 6 and 6x - 4 is subtractd from 8x + 6, the result is

• 12x + 10

• -4x - 2

• 4x + 2

• 4x + 8

During its second year of operation, the Coastal Construction Company produced 3000 more units of affordable housing that it produced in its first year, when it produced c units. The company earns a profit of p dollars for each unit produced. Which of the following represents the total profit made by the Coastal Construction Company in its first two years?

• 3000p dollars

• 6000p dollars

• (3000 +2c)p dollars

• (6000 - c)p dollars

If 3/x - 2 = 2/x, what is the value of x?

• -5/2

• -1/2

• 1/2

• 5/2

If 5x + 3 = 23, then x - 1/2 =

• 3.5

• 4

• 4.5

• 7

If 3x - 7 = 5, then 9x - 21 =

• 3

• 4

• 10

• 15