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The expression 9m^2-100 is equivalent to
(1) (3m-10)(3m+10)
(2) (3m-10)(3m-10)
(3) (3m-50)(3m+50)
(4) (3m-50)(3m-50)
(1) (3m-10)(3m+10)
If f(X) = 4x+5, what is the value of f(-3)?
(1) -2
(2) -7
(3) 17
(4) 4
(2) -7
David wanted to go on an amusement park ride. A sign posted at the entrance read "You must be greater than 42 inches tall and no more than 57 inches tall for this ride". Which inequality would model the height, x, required for this amusement park ride?
(1) 42 < x ≤ 57
(2) 42 > x ≥ 57
(3) 42 < x or x ≤ 57
(4) 42 > x or x ≥ 57
(1) 42 < x ≤ 57
Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $1.60 per pound and Raspberries cost $1.75 per pound. If she only has $10 to spend on berries, which inequality represents the situation where she buys x pounds of strawberries and y pounds of raspberries?
(1) 1.60x + 1.75y ≤ 10
(2) 1.60x + 1.75y ≥ 10
(3) 1.75x + 1.60y ≤ 10
(4) 1.75x + 1.60y ≥10
(1) 1.60x + 1.75y ≤ 10
2Which equation has the same solution as x2-6x-12 = 0 ?
(1) (x+3)2 = 21
(2) (x-3)2=21
(3) (x+3)2= 3
(4) (x-3)2=3
(2) (x-3)2=21
When 3a + 7b > 2a - 8b is solved for a, the result is?
(1) a > -b
(2) a < -b
(3) a < -15b
(4) a > -15b
(4) a > -15b
Which value of x satisfies the equation 7/3(x + 9/28)=20?
(1) 8.25
(2) 8.89
(3) 19.25
(4) 44.92
(1) 8.25
A movie theater's popcorn box is a rectangular prism with a base that measure 6 inches by 4 inches and has a height of 8 inches. To create a larger box, both the length and the width will be increased by x inches. The height will remain the same. Which function represents the volume, V (x), of the larger box?
(1) V(x)= (6+x)(4+x)(8+x)
(2) V(x)=(6+x)(4+x)(8)
(3) V(x)=(6+x)+(4+x)+(8+x)
(4) V(x)=(6+x)+(4+x)+8
(2) V(x)=(6+x)(4+x)(8)
(1) -13
(2) -10
(3) 10
(4) 11
(4) 11
A cell phone company charges $60.00 a month for up 1 gigabyte of date. The cost of additional data is $0.05 per megabyte. If "d" represents the number of additional megabytes and "c" represents the total charges at the end of the month, which linear equation can be used to determine a users monthly bill?
(1) c=60-0.05d
(2) c=60 x 0.05d
(3) c=60d-0.05
(4)c=60+0.05d
(4)c=60+0.05d
Bella recorded data and used her graphic calculator to find the equation for the line of best fit. She then used the correlation coefficient to determine the strength of the linear fit. Which correlation coefficient represents the strongest linear relationship?
(1) 0.9
(2)0.5
(3) -0.3
(4)-0.8
(1) 0.9
What is the solution to 2 +3 (2a+1)=3(a+2)?
(1) 1/7
(2) 1/3
(3) -3/7
(4) -1/3
(2) 1/3
The expression 3 (x2 + 2x - 3) - 4(4x2 - 7x + 5) is equivalent to
(1) -13x - 22x + 11
(2) -13x2 + 34x - 29
(3) 19x2 - 22x + 11
(4) 19x2 + 34x - 29
(2) -13x2 + 34x - 29
The quadratic equation x2 - 6x=12 is rewritten in the form (x+p)2=q, where q is a constant. What is the value of p?
(1) -12
(2) -9
(3) -3
(4) 9
(3) -3
The solution to 2x^2=72 is
(1) {9,4}
(2) {-4,9}
(3) {6}
(4) {+/- 6}
(4) {+/- 6}
if the area of a rectangle is expressed as x4-9y2, then the product of the length and width of the rectangle could be expressed as
(1) (x-3y)(x+3y)
(2) (x2-3y)(x2+3y)
(3) (x2-3y)(x2-3y)
(4) (x4+y)(x-9y)
(2) (x2-3y)(x2+3y)
when written in factored form, 4w2 - 11w - 3 is equivalent to
(1) (2w + 1)(2w-3)
(2) (2w-1)(2w+3)
(3) (4w+1)(w-3)
(4) (4w-1)(w+3)
(3) (4w+1)(w-3)
When using the method of completing the square, which equation is equivalent to x^2 -12x-10=0
(1) (x+6)^2 = -26
(2) (x+6)^2=46
(3) (x-6)^2=-26
(4) (x-6)^2=46
(4) (x-6)^2=46
An expression of the fifth degree is written with a leading coefficient of seven and a constant of six. Which expression is correctly written for these conditions?
(1) 6x5 + x4 + 7
(2) 7x6 - 6x4 + 5
(3) 6x7- x5 + 5
(4) 7x5 + 2x2 + 6
(4) 7x5 + 2x2 + 6
When solving the equation 4(3x2 + 2) - 9 + 8x2 + 7, Emily wrote 4(3x2 + 2) = 8x2 + 16 as her first step, which property justifies Emily's first step?
(1) addition property of equality
(2) communtative property of addition
(3) multiplication property of equality
(4) distributive property of multiplication over addition
(1) addition property of equality
Mo's farm stand sold a total of 165 pounds of apples and peaches. She sold apples for $1.75 per pound and peaches for $2.50 per pound. IF she made $337.50, how many pounds of peaches did she sell?
(1) 11
(2) 18
(3) 65
(4) 100
(3) 65
A student is asked to solve the equation 4(3x-1)2 - 17 +83. The students solution to the problem starts as
4(3x-1)2 = 100
(3x-1)2 = 25
A correct next step in the solution of the problem is
(1) 3x - 1 = ± 5
(2) 3x -1 = ±25
(3) 9x2 - 1 = 25
(4) 9x2 - 6x + 1 = 5
(1) 3x - 1 = ± 5
What are the roots of the equation x2 + 4x -16 = 0
(1) 2 ± 2√5
(2) -2 ± 2√5
(3) 2 ± 4√5
(4) -2 ± 4√5
(2) -2 ± 2√5
The zeros of the function p(x) = x2 - 2x - 24 are
(1) -8 and 3
(2) -6 and 4
(3) -4 and 6
(4) -3 and 8
(3) -4 and 6
what are the solutions to the equation x2 - 8x = 24?
(1) x = 4 ± 2√10
(2) x = -4 ± 2√10
(3) x = 4 ± 2√2
(4) x = -4± 2√2
(1) x = 4 ± 2√10