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(242) =
Sqrt(121) = Sqrt(2*11*11) = 11 sqrt(2)
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
(-inf, -2]
200
14. Is (2, 4) a solution to y = 0.5x – 5
No, because 4 = -4 is a false statement.
200
A cab driver has the following fares posted in his cab
$5 pick-up, and $0.15 per mile.
If he has a fare that runs up to $32, how many miles did they travel?
180
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
Solve the inequality
3x + 2 >= 8
x >= 2
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 Inequality.
6x+6 > 18
x > 2
400
13. b. Graph the line y=(4/5)x + 7
answers vary
400
15. Find the equation of line from the graph provided.
Answers vary
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.