Due Date Algebra 1 - Problem Set #8 SOL Review

Transcription

1 Due Date Algebra 1 - Problem Set #8 SOL Review Name 1 The table below shows the relation between the number of students in math classes and the predicted number of students in each class passing a test. Using the data shown above, which equation could be used to predict the number of students passing a test? A B C D

2 2 The table shows how many people (in millions) saw a newly released movie over a two month period. Which equation represents the curve of best fit? A y = 0.38x B y = 4.09x C y = -0.38x D y = 4.09x 3 Debbie recorded the time it took seven children of different ages to run one lap around the track. Using a linear equation of best fit, which is closest to the length of time it should take Debbie s 6-year-old niece to run one lap? A 140 sec B 200 sec C 185 sec D 170 sec

3 4 A scientist dropped an object from a height of 200 feet. She recorded the height of the object in 0.5-second intervals. Her data is shown. Based on a quadratic model, which best approximates the height at 3 seconds? A 52 feet B 55 feet C 65 feet D 80 feet 5 Write an expression to represent the phrase "five times a number decreased by four". 6 If 112 children sign up for a field trip and each vehicle carries x children, write an expression that could be used to determine the number of vehicles needed for the trip.

4 7 The money Tyson earns, m, varies directly with the number of cans he collects, c. He earns $14.50 for collecting 29 cans. Which equation represents the money he earned for collecting cans? A m = 0.5c B m = 0.25c C m = 29c D m = c The total number, n, of employees at a company depends on the company s yearly gross profits according to the equation n = 10p + 20, where p is the yearly gross profit in millions of dollars. If the yearly gross profit declined from 20 million dollars to 15 million dollars, what was the decrease in the number of employees?

5 9 Which table represents an inverse variation? A B C D

6 10 What is the range of the function shown? A -2 x 7 B 3 x 6 C 3 y 6 D 2 y 7 11 What is f (-8) for the function f? 11(x - 24) f (x ) = 2

7 12 A representation of a function is shown. f (x ) = -4x + 2 What are the x -intercept and the y -intercept of this function? A B C D 13 Directions: Circle a box to choose each answer you want to select. You must select all correct answers. Identify each true statement. 15x 7 y 8 5xy 2 12xy 5 3xy 4 16x 6 y 9 8x 2 y 3 10x 3 y 9 2x 2 y 3 = 3x 6 y 6 = 4y = 2x 3 y 3 = 8xy 6 14 Simplify the expression. 18c 8 d 9 9c 3 d 6 Assume the denominator does not equal zero. A 2c 5 d 3 B 9c 5 d 3 C 2c 11 d 15 D 9c 11 d 15

8 15 A computer chip has two pins on one side. One pin is inches long and the other is inches long. What is the difference in the lengths of the pins? 16 What is the following product? (2 pq 2 r 3 ) (5q 3 r 4 s ) 17 While solving an equation, Lenny wrote the following steps on the board. What property of real numbers guarantees that the second equation is equivalent to the first? A Distributive property B Associative property of addition C Commutative property of addition D Additive inverse property 18 Which property is illustrated by the following statement? A Multiplicative identity property B Multiplicative inverse property C Commutative property of multiplication D Distributive property

9 19 The formula shown can be used to find A, the amount of money Raul has in his savings account. A = P + Prt Raul wants to find r, the rate of interest his money earns. Which equation is correctly solved for r? A r = APt B r = A 2Pt C r = A 2Pt D r = A P Pt 20 Solve the system of equations. Write your answer as an ordered pair.