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CST Summative Math Review. 1. If x 2 is added to x, the sum is 42. Which of the following could be the value of x? -7 -6 14 42. 2. Leanne correctly solved the equation x 2 +4x=6 by completing the square. Which equation is part of her solution? (x+2) 2 =8 (x+2) 2 =10 (x+4) 2 =10
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1. If x2 is added to x, the sum is 42. Which of the following could be the value of x? • -7 • -6 • 14 • 42 • 2. Leanne correctly solved the equation x2+4x=6 by completing the square. Which equation is part of her solution? • (x+2)2=8 • (x+2)2=10 • (x+4)2=10 • (x+4)2=22
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? • 5/12 • 5/13 • 12/13 • 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 • 3.2 ft • 4.8 ft • 6.4 ft • 9.6 ft
Why should I do well on the CST? Students get to keep their electives and not be placed in support classes
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. 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? • Lines l and q have the same y-intercept • Lines l and q are parallel • Lines l and q have the same x-intercept • Lines l and q are perpendicular
9. RB is tangent to a circle whose center is A, at point B. BD is a diameter. C R D 25 A B • What is m CBR? • 50° • 65° • 90° • 130°
Why should I do well on the CST? Students can test out of support classes if they do well (ELD, Math/English topics, etc)
How can I improve my score? Answer every question – don’t leave any blank.
12. 13. (4x 2−2x +8)−(x 2+ 3x −2)= A 3x2+x+6 B 3x2+x+10 C 3x2−5x+6 D 3x2−5x+10
A C E D B 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? • 7 • 9 • 10 • 13
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.
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? • 5 • 6 • 8 • 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? • 60 mL • 45 mL • 40 mL • 25 mL
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 • 445 π sq in • 5 π√39 sq in • 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
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? Range = 6 mode = 16 Range = 8 mode = 16 Range = 8 mode = 15 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? Mean = 56° median = 65° Mean = 61° median = 58° Mean = 57° median = 61° Mean = 58° median = 61°
Why should I do well on the CST? If we meet our API goal of 777 we will get cool stuff!!!
How can I improve my score? Write in the test booklet and show work on math problems.
23. The sum of two binomials is 5x2−6x. If one of the binomials is 3x2 −2x, what is the other binomial? A 2x2−4x B 2x2−8x C 8x2+4x D 8x2−8x 24. Which of the following expressions is equal to (x+2)+(x−2)(2x+1)? A 2x2 −2x B 2x2 −4x C 2x2 +x D 4x2 +2x
y (0,5) (8,5) x (12,0) 0 25. What is the area, in square units, of the trapezoid shown below? • 37.5 • 42.5 • 50 • 100
Why should I do well on the CST? We want to be the number one school in Fontana!
How can I improve my score? Don’t rush through the problems.