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Vocabulary
ACT
Bonus Vocab
Bonus ACT
Challenge
100

a mathematical sentence

Equation

100

What is the value of x when 2x + 3 = 3x – 4 ?

7

100

Rise over run

Slope

100

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

Individual Question

  1. $44.44

  2. $109.08

  3. $118.80

  4. $408.04

  5. $444.40

D. $408.04

100

What is PEMDAS in order

Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction

200

a number that can divide by another number

Factor

200

How many irrational numbers are there between 1 and 6 ?

infinitely amount of numbers 

200

A whole number; a number that is not a fraction

interger

200

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

Individual Question

  1. 4

  2. 14

  3. 16

  4. 20

  5. 50

G. 14

200

a number that has more than one factor

composite numbers

300

the number of times a base is being repeated 

Exponent

300

|| -8 + 4 | - | 3 - 9 || 

-2

300

a fixed reference line for the measurement of coordinates

Axis

300

In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ?


Individual Question

  1. 158

  2. 132

  3. 120

  4. 110

  5. 70

D.110

300


What is the greatest common factor of 42, 126, and 210 ?

Individual Question

  1. 2

  2. 6

  3. 14

  4. 21

  5. 42

J. 42

400

numbers that are a part of a graph

Coordinates

400

What is the slope of the line through (-2,1) and (2,5) in the standard ( x,y ) coordinate plane 

3/2

400

A specified amount in or for every hundred

Percentage

400

In the standard (x,y) coordinate plane below, 3 of the vertices of a rectangle are shown. Which of the following is the 4th vertex of the rectangle?


Individual Question

  1. (3,–7)


  2. Incorrect. You might have mixed up the x's and y's. Did you recognize that moving left or right will affect the x-values, and moving up or down will affect the y-values?

    " data-correctness="wrong">

    (4,–8)

  3. (5,–1)

  4. (8,–3)

  5. (9,–3)

F.(3, -7)

400

What is x, the second term in the geometric series  + x +  +  + ... ?

(Note: In a geometric series the ratio of any term to the following term is constant.)


Individual Question

C. 1/12

500

a number that has more than one factor

Composite number

500

Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of  + 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?

Individual Question

  1. 362

  2. 500

  3. 800

  4. 1,250

  5. 1,750

D, 1.250

500

a sentence that states an expression that can be greater than or less than a number

Integer

500

In the figure below, ray  was constructed starting from rays  and . By using a compass D and G were marked equidistant from E on rays  and . The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:


Individual Question

  1. are equal.

  2. are NOT equal.

  3. sum to 30°.

  4. sum to 45°.

  5. sum to 60°.

F. are equal

500

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

Individual Question

  1. $86.00

  2. $77.60

  3. $56.00

  4. $50.00

  5. $44.00

C. $56.00