Rising Geometry Students-Summer Math Skills Page 1 Simplify the following expressions. 1. 3( x + 1) + 5 2. (x + 2)(x + 5) 3. -2(-3) Find the slope of the line through the given points. 4. ( -1, 3) and ( 2, 7) 5. ( -2, 5) and (1, -1) 6. Write each as the product of two factors. a. x² + 6x + 8 b. x² - x - 12 c. x² - 25 d. x² + 8x + 16 7. Simplify. a. 3 + 9 • 7 – 8 ÷ 2 b. ( −2 ) 5 c. −2 5 d. -21 – 2 • 6 ÷ 3 8. Employee wages are directly proportional to time worked. If Liza received $ 114 for 20 hours work, how much should she receive for 30 hours work? 9. If a = -3, c = -1, and d = 2, find the value of −7 − . For problems 10-12, solve for x. 10. |x| + 2 = 3 11. |x - 2| = 3 12. |x| + 6 = 2
13
Embed
Rising Geometry Students-Summer Math Skills Simplify the ... · Use the quadratic formula to solve 3x² + x – 2 = 0 for x. Complete 4-6. ... x² + 2x² = 147 √2. x² - 6x = 4
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Rising Geometry Students-Summer Math Skills
Page 1
Simplify the following expressions.
1. 3( x + 1) + 5 2. (x + 2)(x + 5) 3. -2(-3)
Find the slope of the line through the given points.
4. ( -1, 3) and ( 2, 7) 5. ( -2, 5) and (1, -1)
6. Write each as the product of two factors.
a. x² + 6x + 8 b. x² - x - 12 c. x² - 25 d. x² + 8x + 16
7. Simplify.
a. 3 + 9 • 7 – 8 ÷ 2 b. ( −2 )5 c. −25 d. -21 – 2 • 6 ÷ 3
8. Employee wages are directly proportional to time worked. If Liza received $ 114 for 20
hours work, how much should she receive for 30 hours work?
9. If a = -3, c = -1, and d = 2, find the value of 𝑐−7𝑑
𝑎−𝑑 .
For problems 10-12, solve for x.
10. |x| + 2 = 3 11. |x - 2| = 3 12. |x| + 6 = 2
Page 2
1. Evaluate the following
a. √25 b. √−25 c. | 8 |
d. | -8 | e. - | 8 | f. - | -8 |
2. Multiply the following.
a. (2x – 3)(x + 1) b. ( x – 7 )² c. ( x – 6 )( x + 6 )
3. The length of a rectangular lot is twice the width. The perimeter is 156 meters.
Write and equation and show all work to find the width and length.