1. CST Summative Math Review

2. 1. If x 2 is added to x, the sum is 42. Which of the following could be the value of x? A.-7 B.-6 C.14 D.42 2. Leanne correctly solved the equation x 2 +4x=6 by completing the square. Which equation is part of her solution? A.(x+2) 2 =8 B.(x+2) 2 =10 C.(x+4) 2 =10 D.(x+4) 2 =22

3. 3. A 13 foot ladder is leaning against a wall. The top of the ladder touches the wall 12 feet above the ground. The bottom of the ladder is 5 ft from the bottom of the wall. What is the sine of the angle formed by the ground and the base of the ladder? A.5/12 B.5/13 C.12/13 D.13/5 4. An 8 ft ladder is leaning against a wall. The ladder makes a 53° angle with the wall. Which is closest to the distance up the wall the ladder reaches? sin 53°=0.8. cos 53°=0.60 tan 53°=1.33 A.3.2 ft B.4.8 ft C.6.4 ft D.9.6 ft

5. Why should I do well on the CST? Students get to keep their electives and not be placed in support classes

6. How can I improve my score? Eliminate all wrong answers first and then take a guess of the remaining answers if you are not sure.

7. 7. Which point lies on the line represented by the equation below? 5x + 4y = 22 A (-2, 11/4) B (-1, 17/4) C (2, 3) D (6, 2) 8. The equation of line l is 6x+5y=3, and the equation of line q is 5x- 6y=0. Which statement about the two line is true? A.Lines l and q have the same y-intercept B.Lines l and q are parallel C.Lines l and q have the same x-intercept D.Lines l and q are perpendicular

8. 9. RB is tangent to a circle whose center is A, at point B. BD is a diameter. What is m CBR? A.50° B.65° C.90° D.130° A C D B 25 R

10. Why should I do well on the CST? Students can test out of support classes if they do well (ELD, Math/English topics, etc)

11. How can I improve my score? Answer every question – don’t leave any blank.

12. 12. 13. (4x 2 −2x +8)−(x 2 + 3x −2)= A 3x 2 +x+6 B 3x 2 +x+10 C 3x 2 −5x+6 D 3x 2 −5x+10

13. 14. In the circle below, AB and CD are chords intersecting at E. If AE=5, BE=12, and CE=6, what is the length of DE? A.7 B.9 C.10 D.13 A C D B E

15. How can I improve my score? Don’ t spend too much time on any one problem. Do the problems you know first and then go back and try to answer the harder questions.

16. 17. A rectangle has a diagonal that measures 10 cm and a length that is 2 cm longer than the width. What is the width of the rectangle in centimeters? A.5 B.6 C.8 D.12 18. A pharmacist mixed some 10% saline solution with some 15% saline solution to obtain 100 mL of a 12% saline solution. How much of the 10% saline solution did the pharmacist use in the mixture? A.60 mL B.45 mL C.40 mL D.25 mL

17. 19. A right circular cone has radius 5 inches and height 8 inches. What is the lateral area of the cone? (Lateral area of cone=πrl, where l=slant height) A. 40 π sq in B.445 π sq in C.5 π√39 sq in D.5 π √89 sq in 20. If a cylindrical barrel measures 22 inches in diameter, how many inches will it roll in 8 revolutions along a smooth surface? A. 121 π in B. 168 π in C. 176 π in D. 228 π in

18. 21. The ages of a group of students are listed below. 13, 17, 15, 18, 16, 15, 14, 11, 19, 17, 16, 15, 19 What is the range and mode for the ages? A.Range = 6 mode = 16 B.Range = 8 mode = 16 C.Range = 8 mode = 15 D.Range = 6 mode = 15 22. The daily high temperatures for a certain week are listed below. 65°, 40°, 70°, 45°, 75°, 50°, 61° What is the mean and median high temperature for the week? A.Mean = 56° median = 65° B.Mean = 61° median = 58° C.Mean = 57° median = 61° D.Mean = 58° median = 61°

19. Why should I do well on the CST? If we meet our API goal of 777 we will get cool stuff!!!

20. How can I improve my score? Write in the test booklet and show work on math problems.

21. 23. The sum of two binomials is 5x 2 −6x. If one of the binomials is 3x 2 −2x, what is the other binomial? A 2x 2 −4x B 2x 2 −8x C 8x 2 +4x D 8x 2 −8x 24. Which of the following expressions is equal to (x+2)+(x−2)(2x+1)? A 2x 2 −2x B 2x 2 −4x C 2x 2 +x D 4x 2 +2x

22. 25. What is the area, in square units, of the trapezoid shown below? A.37.5 B.42.5 C.50 D.100 y (0,5) (8,5) (12,0) 0 x

24. Why should I do well on the CST? We want to be the number one school in Fontana!

25. How can I improve my score? Don’t rush through the problems.