Which phrase represents the algebraic expression 5x - 9?

the product of five times a number and nine

the difference of nine times a number and five

the sum of five times a number and five

the difference of five times a number and nine

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What is the solution to the equation ?

a = –5

a = –3

a = 3

a = 5

Which algebraic expression represents the phrase “seven more than half of a number”?

7 minus one-half x

Negative 7 + one-half x

One-half x + 7

Negative one-half x minus 7

Given the equation what is the value of x?

x = y w + y minus 1

x = 2 y w + y minus 1

x = 2 y w + y minus 2

x = 4 y w + 2 y minus 2

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?

x less-than negative 5

x greater-than negative 5

x greater-than negative 1

x less-than negative 1

Which is the solution set of the compound inequality and

Negative 2 less-than x less-than 3 and three-quarters

Negative 2 less-than x less-than 6

2 less-than x less-than 6

2 less-than x less-than 3 and three-quarters

What is the solution to the equation 3(x – 1) – 2(2x + 1) = 8(x – 1)?

x =

When is solved for w, one equation is Which of the following is an equivalent equation to find w?

w = StartFraction 8 x squared + 2 y Over y EndFraction

w = StartFraction 8 x squared minus 2 y Over y EndFraction

w = 8 x squared minus 3 y

w = 8 x squared minus y

The formula for the volume of a sphere is . What is the formula solved for r?

r = 3 uppercase V + 4 pi

r = RootIndex 3 StartRoot 3 uppercase V minus 4 pi EndRoot

r = RootIndex 3 StartRoot StartFraction 3 V Over 4 pi EndFraction EndRoot

r cubed = 3 uppercase V minus 4 pi

Mrs. Ming invested an amount of money in two accounts for one year. She invested some at 8% interest and the rest at 6% interest. Her total amount invested was $1,500. At the end of the year, she had earned $106.40 in interest. How much had Mrs. Ming invested in the account paying 6%?

$117

$680

$760

$820

Which of the following is an example of why irrational numbers are not closed under addition?

, and 4 is not irrational

, and 1 is not irrational

, and 0 is not irrational

–3 + 3 = 0, and 0 is not irrational

Which property of real numbers is shown below?3 + ((-5) + 6) = (3 + (-5)) + 6

commutative property of addition

identity property of multiplication

associative property of addition

commutative property of multiplication

The formula for the area of a trapezoid is When this equation is solved for , one equation is . Which of the following is an equivalent equation to find ?

b Subscript 1 Baseline= StartFraction 2 A minus b Subscript 2 Baseline h Over h EndFraction

b Subscript 1 Baseline = 2 A minus b Subscript 2 Baseline h

b Subscript 1 Baseline= StartFraction h Over 2 A minus b Subscript 2 Baseline h EndFraction

b Subscript 1 Baseline = h (2 A minus b Subscript 2 Baseline h)

Samantha swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 12 minutes. If the river flows at 4 mph, how fast can Samantha swim in still water?

3 mph

6 mph

7 mph

8 mph

Eight less than four times a number is less than 56. What are the possible values of that number?

x less-than 12