Algebra 1 Released Items 2000

Equations and Inequalities

A repairman estimated the cost of replacing a part in Mrs A repairman estimated the cost of replacing a part in Mrs. James’ computer would be at most $225. The estimate included $35 for the part, a $40 service charge, and $30 per hour for labor. What is the maximum number of hours the repairman estimated for the job? 4½ 5 5½ 6 1 2 3 4 5

What is the solution to the following equation? 4x – 1 = 2x + 5 3 4 5

If ¼x + 1 > 15/2, then — x > 26 x > 29 x > 13/2 x > 28 4 5

The statement “If ½x = 5, then x = 10” is justified by the — associative property of multiplication commutative property of multiplication addition property of equality multiplication property of equality 1 2 3 4 5

What are the x- and y-intercepts of the line with equation 4x + 5y = 40? x-intercept 10, y-intercept 8 x-intercept 8, y-intercept 10 1 2 3 4 5

Which graph best represents the line y = ⅓x - 2? D C. D. 1 2 3 4 5

Which is an equation for the line that passes through the origin and has a slope of 3/5? y = 3/5 x = 3/5 y = x y = 3/5x 1 2 3 4 5

What is the slope of the line y = 4x - 2? ¼ -2 1 2 3 4 5

Which line has a y-intercept of 5 and an x-intercept of 1? B. A B C D C. D. 1 2 3 4 5

Which equation best represents the line shown? y = 2x + 2 y = 2x + 1 y = ½x + 2 y = x + 2 1 2 3 4 5

What is the apparent slope of the line graphed below? 5/2 2/5 -2/5 -5/2 1 2 3 4 5

The difference in cost between a large bag of chips and a small bag of chips was 90¢. Alicia bought 5 large bags and 3 small bags of chips for her party and spent $17.22. What was the cost of a small bag of chips? $5.74 $2.49 $2.15 $1.59 1 2 3 4 5

Which is an equation for the line that passes through the points (3, 0) and (0, 2)? y = -3/2x + 2 y = -2/3x + 2 y = 2/3x + 3 y = 3/2x + 3 1 2 3 4 5

The length of a rectangle is 6 meters more than its width The length of a rectangle is 6 meters more than its width. If the area is 135 square meters, what is its width? 5 m 9 m 15 m 27 m 1 2 3 4 5

What is the solution to the system of equations shown below? C D C. D. 1 2 3 4 5

Which is a solution to the following equation? x2 - 12x – 28 = 0 3 4 5

What is the slope of the line through (3, 2) and (1, 4)? 3/2 2/3 -3/2 1 2 3 4 5

Which is the solution set for the equation below? x2 - 3x = 0 {0, 3} {3, 0} {1, 3} {2, 3} 1 2 3 4 5

Expressions and Operations

What is the value of 4m + 8 4m + 4 when m = 4? 0.5 1.2 1.7 2.0 1 2 3 4 5

Joe, who is the youngest member of the wrestling team at Northwood High School, is 5 years less than one-half the age of the coach. If the coach is n years old, which expression describes Joe’s age? ½n – 5 5 – ½n 2n + 5 2n - 5 1 2 3 4 5

Which expression is equivalent to -4a(3a - 5b)? 1 2 3 4 5

Which is equivalent to (2a + 3b - 2c) + (3a - 4b - c) + (a - 5b + 4c)? 1 2 3 4 5

Given the models below, which figure represents (x + 2)(x + 3)? A. A B C D B. C. D. 1 2 3 4 5

What is √108 written in simplest radical form? 2√27 3√12 6√3 18√3 1 2 3 4 5

Which is equivalent to the expression shown below? 32 · 3-3 -1 1/769 1/3 1 2 3 4 5

When simplified, (2x2y3)4 equals — 1 2 3 4 5

What are factors of 2x2 + 9x + 9? 1 2 3 4 5

x2 - 81y2 = ? (x + 3y)(x - 27y) (x - 9y)(x - 9y) (x + 9y)(x - 9y) 4 5

What is the greatest common monomial factor of 3x3 + 6xy + 9x2 + 12x2y2? 4 5

Which is closest to the value of q if q = √177 - √256 ? 29.3 24.5 -1.3 -2.7 1 2 3 4 5

Relations and Functions

The numbers in the table follow a linear pattern The numbers in the table follow a linear pattern. What is the missing y value? 182 180 176 172 1 2 3 4 5

What is the range of the relation plotted on the graph? {-2, -1, 0, 1, 2} {-2, -1, 0, 2} {-2, -1, 1, 2} {-2, -1, 0, 1, 2, 3} 1 2 3 4 5

The ordered pairs in the sets shown below are of the form (x, y) The ordered pairs in the sets shown below are of the form (x, y). In which set of ordered pairs is y a function of x? {(6, 12), (1, 8), (1, 13)} {(0, 2), (0, 4), (4, 0)} {(7, 1), (7, 2), (7, 3)} {(1, 3), (2, 4), (3, 5)} 1 2 3 4 5

If y varies directly as x, what is the equation for the direct variation shown in the table below? y = 1/7x y = 7x y = 7/x 7y = x 1 2 3 4 5

Which of these equations is a direct variation? y = -8 y = -8x y = -8x + 1 y = -8x - 1 1 2 3 4 5

What is the range of the function ƒ(x) = ½x - 2 when the domain is {2, 4, 6}? {8, 12, 16} {0, 1, 2} {1, 0, 1} {-1, 0, ½} 1 2 3 4 5

Which is a zero of ƒ(x) = x2 - 15x + 54? 3 5 9 15 1 2 3 4 5

If ƒ(x) = 7(x - 2) + 4(x + 1), what is ƒ(2)? 9 10 11 12 1 2 3 4 5

The cost of fabric varies directly with the amount of fabric purchased The cost of fabric varies directly with the amount of fabric purchased. If 1 2/3 yards of fabric cost $10.00, how much would 4½ yards cost? $45 $27 $24 $14 1 2 3 4 5

If m varies directly as p, and m = 5 when p = 7, what is the constant of variation? 35 12 7/5 5/7 1 2 3 4 5

The miles per gallon, m, of an experimental car is given by where s is the car’s speed in miles per hour. What is the car’s miles per gallon when its speed is 100 miles per hour? 10 mpg 30 mpg 45 mpg 50 mpg 1 2 3 4 5

Statistics

What A B C D A. B. C. D. 1 2 3 4 5

The stem-and-leaf plots show the number of miles per gallon a family’s car and truck averaged over the past few months. What is the difference in the median number of miles per gallon for the two vehicles? 7 9 10 11 1 2 3 4 5

Tommy and Jeremy are pitchers for the baseball team and are being evaluated by the coach. The speeds in miles per hour of each of their practice pitches are shown below. Which of the following statements is true regarding their performances? Tommy has a lower mean speed. Tommy has a greater range of speeds. Tommy has a lower median speed. Jeremy’s median speed is higher than Tommy’s mean speed. 1 2 3 4 5

The box-and-whisker plot shows the heights in centimeters of high school seniors compared to their heights as freshmen. Using the median as the measure, which is closest to the difference in heights between the freshman and senior years? 0 cm 5 cm 10 cm 15 cm 1 2 3 4 5

The table shows the life expectancy of a person related to the year of birth. Which equation would give the best estimate of life expectancy, given the year of one’s birth? y = 0.45x + 919 y = 0.45x - 819 y = 0.40x + 893 y = 0.40x - 716 1 2 3 4 5

The table below shows the number of boxes of cookies sold by members of two softball teams, the Hawks and the Tigers. What is the difference in the mean number of cookies sold by the two teams? 2.5 4.5 6 14 1 2 3 4 5

Which scatterplot most likely has a line of best fit represented by y = 3x + 1? 2 3 4 5