Name ______Date ______
Integrated Algebra Period 7
Cumulative Review 3
______1. What is the value of m in the equation
(1) 1 (2) -1 (3) (4) 0
______2. If the value of x is
(1) 1 (2) (3) 5 (4) 4
______3. If 2x + 5 = –25 and –3m – 6 = 48, what is the product of x and m?
(1) –270 (2) –33 (3) 3 (4) 270
______4. What is the solution of
(1) 1 (2) 5 (3) 6 (4) 14
______5. The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with x – 5 members and the other with members. How many people are on the school board?
(1) 20 (2) 12 (3) 8 (4) 4
______6. If , then x equals
(1) a (2) -a (3) (4)
______7. If then x is equal to
(1) (2) (3) (4)
______8. Which linear equation represents the data in the accompanying table?
(1) d = 1.50c (2) d = 1.50c + 20.00
(3) d = 20.00c + 1.50 (4) d = 21.50c
______9. What is an equation of the line that passes through the points and
(1) (2) (3) (4)
______10. Which equation is represented by the accompanying graph?
(1) (3)
(2) (4)
______11. Which set of ordered pairs does not represent a function?
(1) {(3,-2), (-2,3), (4,-1), (-1,4)} (2) {(3,-2), (3,-4), (4,-1), (4,-3)}
(3) {(3,-2), (4,-3), (5,-4), (6,-5)} (4) {(3,-2), (5,-2), (4,-2), (-1,-2)}
______12. Which inequality is shown in the accompanying diagram?
(1) (2)
(3) (4)
______13. Which graph represents the solution set for and ?
(1) /(2) /
(3) /
(4) /
______14. What is the slope of the line containing the points (3,4) and (-6,10)?
(1) (2) 2 (3) (4)
______15. What is the slope of the line whose equation is 2y = 5x + 4?
(1) 5 (2) 2 (3) (4)
______16. Consider the set of integers greater than -2 and less than 6. A subset of this set is the positive factors of 5. What is the complement of this subset?
(1) {0, 2, 3, 4} (2) {-1, 0, 2, 3, 4}
(3) {-2, -1, 0, 2, 3, 4, 6} (4) {-2, -1, 0, 1, 2, 3, 4, 5, 6}
______17. The value of is a real and irrational number when x is equal to
(1) 5 (2) 0 (3) -3 (4) 4
______18. If and what is the value of
(1) -20 (2) -2 (3) 8 (4) 16
______19. What is the first step in simplifying the expression
(1) square 5 (2) add 4 and 5 (3) subtract 3 from 2 (4) multiply 3 by 4
______20. If a ≠ 0, then equals
(1) (2) (3) 5a (4) 7a
______21. The expression is equivalent to
(1) (2) (3) (4)
______22. What is the sum of and
(1) (2) (3) (4)
______23. Factored completely, the expression is equivalent to
(1) 2(y + 9)(y - 3) (2) 2(y - 3)(y - 9) (3) (y + 6)(2y - 9) (4) (2y + 6)(y - 9)
______24. Which equation represents the axis of symmetry of the graph of the parabola below?
(1) y = –3 (2) x = –3
(3) y = –25 (4) x = –25
Directions: For each of the following show all work used to find your solution.
25. Maureen tracks the range of outdoor temperatures over three days. She records the following information.
Express the intersection of the three sets as an inequality in terms of temperature, t.
26.An engineer measured the dimensions for a rectangular site by using a wooden pole of unknown
length x. The length of the rectangular site is 2 pole measures increased by 3 feet, while the width is 1 pole measure decreased by 4 feet. Write an algebraic representation, in terms of x, for the perimeter of the site.
27. Kerry is planning a rectangular garden that has dimensions of 4 feet by 6 feet. Kerry wants one-half of the garden to have roses, and she says that the rose plot will have dimensions of 2 feet by 3 feet. Is she correct? Explain.
28. Virginia has a circular rug on her square living room floor, as represented in the accompanying diagram. If her entire living room floor measures 100 square feet, what is the area of the part of the floor covered by the rug?
29. A cardboard box has length x – 2, width x + 1, and height 2x.
a Write an expression, in terms of x, to represent the volume of the box.
b If x = 8 centimeters, what is the number of cubic centimeters in the volume of the box?
30.On a grid, draw the graph of the line whose slope is and whose y-intercept is -2.