Quantities, Equations, & Inequalities
Equations, Inequalities, & Functions
Functions & Data
Transformations
Algebra-Geometry Love Connection
100
A rectangle has a length of 12 m and a width of 400 cm. What is the perimeter of the rectangle? A. 824 cm B. 1600 cm C. 2000 cm D. 3200 cm
What is answer A. 824 cm?
100
Which equation shows 6(x + 4) = 2(y + 5) solved for y? A. y = x + 3 B. y = x + 5 C. y = 3x + 7 D. y = 3x + 17
What is answer C y= 3x + 7?
100
Every year Silas buys fudge at the state fair. He buys two types: peanut butter and chocolate. This year he intends to buy $24 worth of fudge. IF chocolate costs $4 per pound and peanut butter costs $3 per pound, what are the different combinations of fudge that he can purchase if he only buys whole pounds of fudge? A. (3, –4), (4, 2), & (6, 0) B. (0, 8), (3, 4), & (6, 0) C. (2, 5), (4,2), & (5, 1) D. (1, 6), (4, 2) & (5, 1.3)
What is Answer B (0, 8), (3, 4), & (6, 0)?
100
A parallelogram has vertices at (0, 0), (0, 6), (4, 4), and (4, –2). Which transformation maps the parallelogram to itself? A. a reflection across the line x = 2 B. a reflection across the line y = 2 C. a rotation of 180° about the point (2, 2) D. a rotation of 180° about the point (0, 0)
What is Answer C a rotation of 180° about the point (2, 2)?
100
Triangle ABC has vertices A(1, 4), B(4, 1), and C(-3, 0). What is the area of the triangle? A. square root of (72) square units B. 12 square units C. square root of (288) square units D. 24 square units
What is Answer B 12 square units?
200
The tension caused by a wave moving along a string is found using the formula T =(mv^2)/L . If m is the mass of the string in grams, L is the length of the string in centimeters, and v is the velocity of the wave in centimeters per second, what is the unit of the tension of the string, T? A. gram-centimeters per second squared B. centimeters per second squared C. grams per centimeter-second squared D. centimeters squared per second
What is answer A gram-centimeters per second squared?
200
This equation can be used to find h, the number of hours it takes Flo and Bryan to mow their lawn. h/3 + h/6 = 1 How many hours will it take them to mow their lawn? A. 6 B. 3 C. 2 D. 1
What is answer C 2?
200
A school was having a coat drive for a local shelter. A teacher determined the median number of coats collected per class and the interquartile ranges of the number of coats collected per class for the freshmen and for the sophomores.  The freshmen collected a median number of coats per class of 10, and the interquartile range was 6.  The sophomores collected a median number of coats per class of 10, and the interquartile range was 4. Which range of numbers includes the third quartile of coats collected for both classes? A. 4 to 14 B. 6 to 14 C. 10 to 16 D. 12 to 15
What is Answer C 10 to 16?
200
Which of the following definitions describes a line segment? A) A line segment continues in both directions indefinitely. B) A line segment is the intersection of two planes. C) A line segment has one endpoint and continues indefinitely in one direction. D) A line segment has two endpoints.
What is Answer D a line segment has two endpoints?
200
For what values of n are the lines 7x + 3y = 8 and nx + 3y = 8 perpendicular? A. n=-9/7 B. n=7/9 C. 3/7 D. -3/7
What is Answer A. n = -9/7 ?
300
The distance a car travels can be found using the formula d = rt, where d is the distance, r is the rate of speed, and t is time. How many miles does the car travel, if it drives at a speed of 70 miles per hour for 1/2 hour? A. 35 miles B. 70 miles C. 105 miles D. 140 miles
What is answer A 35 miles?
300
A manager is comparing the cost of buying ball caps with the company emblem from two different companies.  Company X charges a $50 fee plus $7 per cap.  Company Y charges a $30 fee plus $9 per cap. For what number of ball caps will the manager’s cost be the same for both companies? A. 10 caps B. 20 caps C. 40 caps D. 100 caps
What is answer A 10 caps?
300
A reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below. 44, 49, 39, 43, 50, 44, 45, 49, 51 For this data, which summary statistic is NOT correct? A. The minimum is 39. B. The lower quartile is 44. C. The median is 45. D. The maximum is 51.
What is Answer B the lower quartile is 44?
300
An object is transformed using the following rule: (x,y)=>(3x, y). What is the effect on the object? A) The object is translated three units to the right. B) The object is translated three units up. C) The object is stretched horizontally. D) The object is stretched vertically.
What is Answer C the object is stretched horizontally.
300
An equation of a line a is y=-1/2x -2. Which is an equation of the line that is perpendicular to line a and passes through the point (–4, 0)? A. y=-1/2x + 2 B. y=-1/2x + 8 C. y=2x - 2 D. y = 2x + 8
What is Answer D y = 2x + 8?
400
Bruce owns a business that produces widgets. He must bring in more in revenue than he pays out in costs in order to turn a profit.  It costs $10 in labor and materials to make each of his widgets.  His rent each month for his factory is $4000.  He sells each widget for $25. How many widgets does Bruce need to sell each month to make a profit? A. 160 B. 260 C. 267 D. 400
What is answer C 267?
400
If f(12) = 4(12) – 20, which function gives f(x)? A. f(x) = 4x B. f(x) = 12x C. f(x) = 4x – 20 D. f(x) = 12x – 20
What is Answer C f(x) = 4x - 20?
400
Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores below. Week 1: 70, 70, 70, 73, 75 Week 2: 72, 64, 73, 73, 75 What is the BEST explanation of why Peter’s Week 2 mean score was lower than his Week 1 mean score? A. Peter received the same score three times in Week 1. B. Peter had one very low score in Week 2. C. Peter did not beat his high score from Week 1 in Week 2. D. Peter had one very high score in Week 1.
What is Answer B Peter had one very low score in Week 2?
400
Given a regular octagon, how many lines exist such that a reflection across the line would take the octagon onto itself? A) 2 B) 4 C) 8 D) infinite lines
What is Answer B 4?
400
Write the equation of a line that is parallel to the line y=2x - 4 and passes through the point (-4, 1). A) y = 2x + 8 B) y = −2x + 8 C) y = 2x +9 D) y = 2x −9
What is Answer C y = 2x + 9?
500
Which equation shows ax – w = 3 solved for w? A. w = ax – 3 B. w = ax + 3 C. w = 3 – ax D. w = 3 + ax
What is answer A w=ax - 3?
500
A farmer owns a horse that can continuously run an average of 8 miles an hour for up to 6 hours. Let y be the distance the horse can travel for a given x amount of time in hours. The horse’s progress can be modeled by a function. Which of the following describes the domain of the function? A. 0 ≤ x ≤ 6 B. 0 ≤ y ≤ 6 C. 0 ≤ x ≤ 48 D. 0 ≤ y ≤ 48
What is Answer A 0 ≤ x ≤ 6?
500
Which statement is true about the function f (x)=7? A. The function is odd because –f(x) = f(–x). B. The function is even because –f(x) = f(–x). C. The function is odd because f(x) = f(–x). D. The function is even because f(x) = f(–x).
What is Answer D the function is even because f(x) = f(-x)?
500
How many lines of symmetry does the equilateral triangle have? A) 3 B) 2 C) 1 D) 0
What is Answer A 3?
500
Point A has coordinates (0, 6) and point B has coordinates (-3, -5). Find the midpoint of AB. A) (3, -4) B) (1.5, -0.5) C) (-1.5, 0.5) D) (-3, 4)
What is Answer C (-1.5, 0.5)?
M
e
n
u