Alg. I Mid-Term Review. A x > 3 2. C x > 3 D x < 3. A x > 7 B x < C x < 6 D x > A x > 2 B x < 2. C x > 2 D x < 2

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1 lg. I Mid-Term Review Name: ate: 1. Which sentence is an example of the distributive property? ab = ba a(bc) = (ab)c a(b + c) = ab + ac a 1 = a 5. The inequality 3x + 2 > x + 8 is equivalent to x > 3 2 x > 2 3 x > 3 x < 3 2. Which sentence illustrates the associative property for multiplication? ab = ba a(bc) = (ab)c 6. The smallest whole number that satisfies the inequality 3x 1 > 2 is a 1 = a a(b + c) = ab + ac 7. Which inequality is the solution of 5x 1 < 29? 3. Which property is illustrated by the equation 3(x + 4) = 3x + 12? x > 7 x < x < 6 x > associative property of addition commutative property of addition distributive property of multiplication over addition transitive property of equality 8. Which inequality is equivalent to 2x + 6 > 2? x > 2 x < 2 x > 2 x < 2 4. Which is an illustration of the associative property? ab = ba a(b + c) = ab + ac a(bc) = (ab)c a + 0 = a 9. Which number is not a member of the solution set of the inequality 4x 18? page 1

2 lg. I Mid-Term Review 10. Which statement is equivalent to the inequality 9 4x 3x 5? x > 2 x < Which graph does not represent a function of x? x 2 x Which graph represents a function? 12. Which diagram is not the graph of a function? page 2

3 lg. I Mid-Term Review 14. Which statement is true about the relation shown on the graph below? 17. When drawn on the same set of axes, the graph of the equations y = x + 1 and y + x = 3 intersect at the point whose coordinates are (2, 1) (1, 2) (2, 3) ( 1, 4) 18. What is the y-intercept of the line whose equation is y 2x = 4? It is a function because there exists one x-coordinate for each y-coordinate. 19. What are the coordinates of the y-intercept in the graph of the equation y + 3x = 6? It is a function because there exists one y-coordinate for each x-coordinate. It is not a function because there are multiple y-values for a given x-value. (0, 6) (0, 3) (0, 3) (0, 6) It is not a function because there are multiple x-values for a given y-value. 20. The graph of the equation x + 3y = 6 intersects the y-axis at the point whose coordinates are (0, 2) (0, 6) (0, 18) (6, 0) 15. If f (x) = 2x 2 + 6, find the value of f ( 3). 21. What is the slope of the line whose equation is 5y = 2x + 10? 16. If f (x) = x 2 3x, find f ( 1.8) page 3

4 lg. I Mid-Term Review 22. What is the slope of the line whose equation is y = 3 4 x + 4? 25. Which graph represents the equation x = 3? 23. What is an equation of the line whose graph is shown? y = x y = 2x y = x y = Which equation is represented by this graph of line l? x = y + 4 y = x + 4 x = Which is an equation for line l in the accompanying diagram? y = 4 y = 2x + 2 y = 2x 4 y = 2x 4 y = 2x Which is an equation of the line that passes through the point (1, 4) and has a slope of 3? y = 3x + 4 y = 1 3 x + 4 y = 3x 1 y = 3x + 1 page 4

5 lg. I Mid-Term Review 28. Which equation represents the line whose slope is 2 and that passes through point (0, 3)? y = 2x + 3 y = 2x 3 y = 3x 2 y = 2x What is an equation of a line that passes through the point (0, 3) and is perpendicular to the line whose equation is y = 2x 1? y = 2x + 3 y = 2x + 3 y = 1 2 x + 3 y = 1 2 x line is represented by the equation y = 3x 7. Which statement about the line is true? The slope of the line is 1 3. The y-intercept is The formula = 9 5 (F 32) can be used to find the elsius temperature () for a given Fahrenheit temperature (F). What elsius temperature is equal to a Fahrenheit temperature of 77? Point (1, 4) lies on the line. This line is parallel to the line whose equation is y = 2x The number of people on the school board is represented by x. Two subcommittees with an equal number of members are formed, one with 2 3 x 5 members and the other with x 4 members. How many people are on the school board? 30. Which is an equation of the line that passes through the points (1, 3) and ( 1, 1)? x = 1 y = 2x + 1 y = x + 2 y = Joseph typed a 1,200-word essay in 25 minutes. t this rate, determine how many words he can type in 45 minutes. 31. Write an equation of the line that passes through the point (1, 6) and is parallel to the line whose equation is y = 3x If 4 more than twice a number is 18, find the number. 37. Lois is four times as old as her son an. The sum of their ages is 40. How old is an? page 5

6 lg. I Mid-Term Review 38. If the sum of a number and four is multiplied by two, the result is 28. What is the number? 40. If n is an odd integer, which equation can be used to find three consecutive odd integers whose sum is 3? n + (n + 1) + (n + 3) = 3 n + (n + 1) + (n + 2) = 3 n + (n + 2) + (n + 4) = 3 n + (n + 2) + (n + 3) = ribbon 56 centimeters long is cut into two pieces. One of the pieces is three times longer than the other. Find the lengths, in centimeters, of both pieces of ribbon. page 6

7 cces format version c Educide Software Licensed for use by Problem-ttic lg. I Mid-Term Review 01/15/ y = 3x and