Act Algebra

In the number 0.222 the 2 next to the decimal point represents a value that is how many times as large as that represented by the 2 farthest from the decimal point?

• 0.01

• 0.1

• 1.0

• 10.0

• 100.0

In scientific notation, 0.00326 = ?

• 3.26 x 10^-3

• 3.26 x 10^-2

• 3.26 x 10^-1

• 3.26 x 10²

• 3.26 x 103

When a plane takes 52 minutes to fly 196 miles, about how many miles per hour does it average?

• 102

• 170

• 196

• 226

• 377

In ΔABC, the sum of the measures of ∠A and ∠B is 47°. What is the measure of ∠C ?

• 47^o

• 86^o

• 94^o

• 133^o

• 143^o

Lines p and n lie in the standard (x,y) coordinate plane. An equation for line p is y = 0.12x + 3,000. The slope of line n is 0.1 greater than the slope of line p. What is the slope of line n?

• 0.012

• 0.02

• 0.22

• 1.2

• 300

The sides of a square are 3 cm long. One vertex of the square is at (2,0) on a square coordinate grid marked in centimeter units. Which of the following points could also be a vertex of the square?

• (-4, 0)

• (0, 1)

• (1, -1)

• (4, 1)

• (5, 0)

For ΔFGH which of the following is an expression for y in terms of x?

• x + 4

• √(x² + 4)

• √(x² + 8)

• √(x² - 16)

• √(x² + 16)

The graph of y = −5x² + 9 passes through (1,2a) in the standard (x,y) coordinate plane. What is the value of a ?

• 2

• 4

• 7

• -1

• -8

Marlon is bowling in a tournament and has the highest average after 5 games, with scores of 210, 225, 254, 231, and 280. In order to maintain this exact average, what must be Marlon’s score for his 6th game?

• 200

• 210

• 231

• 240

• 245

Which of the following mathematical equations is equivalent to the statement “A number, x, squared is 39 more than the product of 10 and x” ?

• 2x = 39 + 10x

• 2x = 39x + 10x

• x² = 39 - 10x

• x² = 39 - x¹⁰

• x² = 39 + 10x