SPED 161 New One (9)

Identify the variable(s) in this equation: 6a + 3x = 7y.

A. a B. 6 and 3 C. 6, 3, and 7 D. x and y E. a, x, and y F. 6. Identify tV

coefficient

A number multiplied by a variable in an algebraic expression (ex. 2x)

alternative interior angles

A pair of angles which are both interior, different sides of the transversal and nonadjacent

constant

A value that does not change (ex. 2x+1=7/ 1 & 7 are constant)

If the price of a shirt is $25, then express the price of n shirts.

A. $25/n B. $25 + n C. n/$25 D. $25n E. $25 - n

Which set of ordered pairs is NOT a function?

A. (1,2), (3,2), (7,5) B. (5,2), (7,6), (2,1) C. (1,2), (2,6), (1,5) D. (1, 2), (3,5), (7,9)

Simplify: ((5x + 2x) - (4x - 3x)) - ((8x + 4x) - 2x)

A. -5x B. 5x C. -4x D. -10x

Mrs. Allison is preparing a cookies and milk party for her third grade class. There are 12 students that drink only whole milk, 8 students that drink only almond milk, 7 students that drink only skim milk, and 3 students that drink only soy milk. What is the probability that a student from Mrs. Allison's class drinks only almond or soy milk?

A. 1/2 B. 1/3 C. 50% D. 66% E. 11/30

Jessie has a deck of 52 regular playing cards and a bag of six marbles. In the bag, there are two blue marbles, three green marbles, and one white marble. What is the probability of Jessie drawing an ace from the deck of cards and a blue marble from the bag?

A. 1/3 B. 7% C. 2/6 D. 1/39 E. 4/52

Lisa has a two-sided coin with heads and tails. She also has a spinner with four colors: green, blue, red, and yellow. What is the probability of Lisa flipping the coin and getting heads and spinning the spinner to land on green?

A. 1/7 B. 13% C. 25% D. 1/4 E. 1/2

Simplify: 4x^2 + 6x + 2x^2 - 8x + 10

A. 10x^2 - 6x + 10 B. 12x^2 + 8x + 10 C. 2x^2 - 2x + 10 D. 6x^2 - 2x + 10

Simplify: 8x^3 - 4x + 3x^3 + 6x^2 - x

A. 11x^3 + 6x^2 - 5x B. 5x^3 + 6x^2 + 3x C. 5x^3 + 8x^2 - 3x D. 11x^3 + 2x^2 - x

What is the volume of a cone with a radius of 3 cm and a height of 5 cm?

A. 135 cm^3 B. 15 cm^3 C. 5 cm^3 D. 47.1 cm^3

Karen takes her group of third grade students out for ice cream. There is a total of 30 students. 13 of the students enjoy chocolate ice cream, 12 of the students enjoy strawberry ice cream, and 5 students enjoy vanilla ice cream. When asked which two ice creams are their favorite, 8 students said they enjoy chocolate and strawberry ice cream. Out of the 30 students, what is the probability of a student enjoying chocolate or strawberry?

A. 17/30 B. 8/30 C. 12/30 D. 5/30 E. 13/30

Gary has a deck of 52 cards. He wants to know the probability of drawing the jack of spades and then drawing the two of hearts from the deck without replacing either card. What's the probability of this event?

A. 2% B. 2/52 C. 1/52 D. 1/2652 E. 1/51

Simplify: 2x^2 + 5 + 4x^2 - 3

A. 2(3x^2 + 1) B. 2(3x^2 + 4) C. 2(x^2 - 1) D. 2(-x^2 + 1) E. -2x^2 + 2

Melissa collects data on her college graduating class. She finds out that of her classmates, 60% are brunettes, 20% have blue eyes, and 5% are brunettes that have blue eyes. What is the probability that one of Melissa's classmates will be a brunette or have blue eyes?

A. 25% B. 75% C. 55% D. 60% E. 10%

CEO Donald earns three times as much as the combined salary of his two vice presidents, Susan and Kurt. If Susan earns s and Kurt earns k, then how much does Donald earn in terms of s and k?

A. 3 + s + k B. 3s + k C. 3(s + k) D. 3/(s + k) E. s + k

Albert is building a rectangular fence around his horse pasture. He has 160 feet of fencing materials and wants the lot to have a length of 50 ft. Using only the fencing materials that he has, how wide will his pasture be?

A. 30 ft B. 60 ft C. 40 ft D. There is not enough information

Identify the coefficient(s) in this equation: 14x + 3y = 72.

A. 4 B. 14 and 3 C. 72 D. 3 E. 14, 3, and 72

Keara is 5 years older than Michelle. If Michelle is m years old, write an expression for Keara's age.

A. 5/m B. m/5 C. m + 5 D. m - 5 E. 5m

Identify the constant(s) in this equation: 7x + 2 = 33.

A. 7 B. 7, 2, and 33 C. 2 and 33 D. 7 and 2 E. 33

How do you determine whether a function is an inverse of another function?

A. Add the functions B. Multiply the functions C. Apply the vertical line test D. Find the composite of the functions

corresponding angles

Angles in the same place on different lines

circumference of a circle (distance around the circle)

C=2πr

circumference of a diameter

C=πd

reflections

flip the function across a line

addition

increased, combined, total, together, sum, more than, added

consecutive interior angles

interior angles that lie on the same side of the transversal; equals 180

equals

is, was, are, were, gives, will be, yields, sold for, equals

multiplication

multiplied, of, product, times, increased by a factor, decreased by a factor

alternate angles

not same

division

per, a, out of, quotient, ratio, percent, divided by

function notation

precise way of writing a function, often seen as f(x)-f of x

translations

slide the function around How do you determine whether a function is an inverse of another function?

function

special kind of equation (rule) in which, you insert one number to get another

rotations

spin the function

dilations

stretch or shrink the function

variable

symbol that represents an unknown number

vertical angles

two angles whose sides form two pairs of opposite rays (kissing V's)

vertical line test

using a graph to check if it is a function by seeing if any vertical line touches the graph in more than one spot

area of a circle

A=3.14r^2

subtraction

decrease, minus, difference, less, less than, fewer, fewer than

distributive property

a(b + c) = ab + ac

alternative exterior angles

angle on the opposite sides of the transversal, outside parallel lines, and are congruent

transformations

change one function to a slightly different one

perimeter of a rectangle

P= 2L + 2w

perimeter of a square

P=4s

perimeter of a triangle

P=a+b+c

perimeter of a polygon

P=sum of all sides