Which equation shows the value of x raised to the 4th power when x = 3?
A . x3 = 4 • 4 • 4 = 64
B . x4 = 4 • 4 • 4 = 64
C . x3 = 3 • 3 • 3 • 3 = 81
D . x4 = 3 • 3 • 3 • 3 = 81
x raised to the fourth power is
D. x4 = 3 x 3 x 3 x 3
represents x to the fourth power as x4 using x as the base and 4 as the exponent, substitutes 3 in for x, and then multiplies 3 four times since the exponent is 4
An expression is shown below .
x2 + 0 .5x
What is the value of the expression when x is 3?
A . 6 .53 B . 7 .5 C . 9 .53 D . 10 .5
D . Correct: substitutes 3 in for x, calculates 32 = 3 • 3 = 9 and 0 .5(3) = 1 .5, and then adds 9 + 1 .5 to determine that the sum is 10 .5
An equation is shown below .
y – 2 .5 = 21 .5
What value of y from the set {8 .6, 19, 23 .5, 24} makes the equation true?
A . 8 .6 B . 19 C . 23 .5 D . 24
D . Correct: substitutes 24 in for y and recognizes that 24 – 2 .5 = 21 .5 is a true number sentence
A cook uses 2 /3 cup of oil to make each batch of pizza dough . Which equation describes the relationship between the number of batches of pizza dough (x) the cook makes and the number of cups of oil (y) the cook uses?
A . y = 2 /3 x
B . y = 3/ 2 x
C . y = x – 2/3
D . y = x + 2/3
A . Correct: recognizes that the number of cups of oil (y) can be found by multiplying the amount of oil, in cups, in each batch ( 2/3 ) by the number of batches (x)
A baseball game has two different ticket prices . • The price of each student ticket is $18 .00 . • The price of each adult ticket is $31 .50 . Christine spent $72 .00 on student tickets . A . How many student tickets did Christine purchase?
4 (student tickets)