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Algebra Exam Review

Equations

Question: x + (-5) = -14
Answer: -11

Question: 4x - 9 = 7x + 12
Answer: x = -7

Question: (2r - 3) /3 = 3/5
Answer: 12/5 = 2.4

Question: -3(b - 8) - 5 = 9 (b + 2 ) + 1
Answer: 0

Question: 2 (a-8) + 7 = 5 ( a + 2) -3a - 19
Answer: All numbers

Proportions

Question: 7/5 = 1/ (x+3)
Answer: -16/7

Question: (x + 2) /-3 = -9/7
Answer: 13/7

Question: What percent of 50 is 80?
Answer: 160%

Question: What number is 85% of 40?
Answer: 34

Question: If y = 80 when x = 32, find x when y = 100
Answer: 40

Computation

Question: 2 (-5/7)
Answer: -10/7

Question: -164 + -8.29
Answer: -172.29

Question: -2/3 - 1/2
Answer: -7/6

Question: 50 - 1/2 (17 + 5)
Answer: 39

Question: 20/4 (5) (2)/10
Answer: 5

Slope

Question: formula for slope
Answer: y2 - y1 / x2 - x1

Question: (2,-3) ( -5, 9)
What is the slope?
Answer: 12/-7

Question: y - 2 = 4 ( x - 6)
What is the slope?
Answer: 4=m

Question: ( 2,4) (-3, -6) ( 0, 12)
Write slope intercept form.
Answer: y = 2x + 12

Question: 2x + y = 5; (3,1)
What is the slope?
Answer: -2=m

Pythagorean Theorem

Question: Pythagorean triple??

9, 12, 15
Answer: Yes, why?

Question: What is the Pythagorean Theorem?
Answer: a squared + b squared = c squared

Question: 24,25, ? Pythagorean triple
Answer: 7

Question: 5, 12, ? hypotenuse
Answer: 13

Question: a= 9
c = 15
b=?
Answer: 12