Intro to Algebra-
(Exponents, Order of Operations, Like Terms, etc.)
Single-Variable
Linear Equations
Single-Variable
Linear Inequalities
Two-Variable
Linear Equations
Surprise!
100
1. c. |(-2)^3| =
|(-2)^3| = |-8| = 8
100
6. Solve: 3/x=4/7
x =21/4
100
10. b. Write the solution to x ≤ 5 in interval notation
(inf, 5]
100
13. a. If a line has slope m = 4/5 and a point (0, 7), find the slope-intercept form of the line.
y = (4/5)x + 7
100
12. a. What is the midpoint between the two points P1=(-4,-10) and P2=(1, 2 )?
(-3/2, -4)
200
1. d. Sqrt(121) =
Sqrt(121) = Sqrt(11*11) = 11
200
5. a. solve. 2x + 5 = 13
x = 4. 2x + 5 = 13 - 5 -5 2x = 8 2x/2 = 8/2 x = 4
200
11. c. Write in interval notation: x ≤ -2 OR x > 2
(-inf, -2] U (2, inf)
200
14. Is (2, 4) a solution to y = 0.5x – 5
No, because 4 = -4 is a false statement.
200
15. Identify the slopes of the lines in the picture provided.
A = undefined B = 0 C = 3/10
300
3. a. Simplify the expression x^2 + 3x – x^4 + 7x^2 -5
-x^4 + 8x^2 + 3x -5
300
8 b. Solve. (7/4) x-12=2
x = 8
300
16. b. Find an ordered pair solution when x =3. 3y + 4x - 8 = x + 4
y = 1
300
12. a. What is the distance between the two points P1=(-4,-10) and P2=(1, 2 )?
sqrt(25+144) = sqrt(169) = 13
400
2. b. Evaluate -5mn + 3n + 7m when m = 2 and n=5.
-5(2)(5) + 3(5) + 7(2) = -50 + 15 +14 = -21
400
7. Solve for x. 2(x-1) + 3= - x -11
x = -4
400
11. a. Solve the compound Inequality. -2x-6≥x OR 6x+6 > 18
x ≤ -2 OR x > 2
400
13. b. Find the equation of a line perpendicular to the line y=(4/5)x + 7 which passes through (4, 0).
y = -(5/4)x + 5
400
15. Find the equation of line c from the graph provided.
y = (3/10)x - 5
500
4. Is x = 2 a solution to 4(x-1) +5/6 = x + 28/12?
No, 4(2-1) +5/6 = 2 + 28/12 4(1) + 5/6 = 2 + 14/6 4 + 5/6 = 2 + 2 2/6 4 5/6 does not equal 4 2/6,
500
9. The sum of three consecutive integers is two time the second consecutive integer. Find the three integers.
-1, 0, 1 x, x +1, x+2 x+ (x+1) + (x+2) = 2(x+1) 3x + 3 = 2x+2 -2x -2x x+3 = 2 -3 -3 x = -1
500
18. Write the solution in interval notation -1<-2x+7< 7
-8 < -2x < 0 4 > x >0 (0,4)
500
17. Find the slope-intercept form of the equation that passes through (5,-1) and (-10, 8)
y = -3/5 x + 2
500
19. Find the point- slope form for the line that passes between P1=(-3, 7) and P2=(4, 6)
y-6 = -7(x-4)
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