SOLVING LINEAR EQUATIONS

Solve for the variable .
1. 2x + 3 = 9
2. 5(x + 3) - 2x = 10
3. 3 - x = 10
4. x + 1 + 2(x + 3x + 4x + 5x) = 20
5. 2x + 9x = 121
6. David has twice as many apples as Jane. Together Jane and David 72 apples. How many apples does Jane have?
7. A car is traveling three more than half the speed limit. The car is traveling 18 miles per hour. What is the speed limit?
8. Eight more than twice a number is equal to half the sum of one and that number . What is the number?

SOLVING SYSTEMS OF EQUATIONS
Solve the systems for the variables.

SOLVING RADICAL EQUATIONS
Solve for the variable.


7.

GRAPHING POINTS
Use the table below to graph the ordered pairs on the coordinate plane, make sure to label the points.
 

1. Calculate the Distance between A and B.
2. Calculate the Distance between D and G.
3. Determine the Midpoint between D and F.
4. Determine the Midpoint between G and A.

GRAPHING linear equation S
Graph the equation of the line on the coordinate plane.
1. y = 3x + 2

2. y = 2x

3. 3x + 3y = 2

4. 2y = 4(x + 1)

5. 4 = 2x+4y

6. y + 2x =3 ?y

pressions .html">RATIOS AND PROPORTIONS
Solve the following proportions for the variable .





For the following problems assume the die has the numbers 1-6 on
it.
5. Given a six-sided fair die, what is the probability of
rolling a number that is greater than 1?
6. Given a six-sided fair die, what is the probability of
rolling a number that is not even?
7. Given a six-sided fair die, what is the probability of
rolling a number that is not 11?
8. Given a six-sided fair die, what is the probability of
rolling a number that is a factor of 24?
9. What percent of 25 is 17?
10. 89% of what number is 22?
11. A number is 30% of 404. What is the number?

MATCHING: SOME ANSWERS REPEAT
 

___	1. This is rational.	A) Slope
___	2. This is irrational.	B) {2, 4, 6, 8, …}
___	3. This is composite.	C) The origin
___	4. This is prime.	D) Ax + By = C
___	5. Standard Form of a linear equation.	E) The number 17. F) The x-axis.
___	6. Slope- intercept form of a linear equation.	G) Degrees H) Square
___	7. This is a set of all integers.	I) This is what 12 is. J) y = mx + b
___	8. This is a set of all whole numbers.	K) The graph of a quadratic function .
___	9. This is the set of all counting numbers.	L) Set of ordered pairs.
___	10. The Quadratic Formula	M) Means the system of equations doesn't have any solutions.
___	11. A quadratic equation
___	12. A quadratic function	N) Triangles
___	13. A test for relations.	O) 90°
___	14. A relation is a…	P) {…3, -2, -1, 0, 1, 2, 3…}
___	15. (0,0)
___	16. (x,0)
___	17. (y,0)	Q)y = ax2 + bx + c
___	18. Set of even numbers.	R) The y-axis
___	19. Set of odd numbers.	S) {1, 3, 5, 7,…}
___	20. We measure angles in…	T) Vertical Line Test
___	21. Parabola	U) 0 = ax^2 + bx + c
___	22. Has 3 sides.	V) The number 24.
___	23. Has 4 sides.	W)
___	24. Means it is a right angle.	X) {1, 2, 3, 4, …}
___	25. “ise over Run”
___	26. 0 = 5	Z) {0, 1, 2, 3,…}

SLOPE
Calculate the slope between the two given points.
1. (1,2) and (3,4)
2. (5,5) and (5,-5)
3. (-3,5) and (-6, 4)
4. (9,10) and (-9,10)
5. Given the linear equation: y = 2x + 6, write the equation of the perpendicular line through point (-2,3).
6. Given the linear equation: 2x + 3y = 9, write the equation of the perpendicular line through point (-5,5).
7. Given the linear equation: 3y-4x = -10, write the equation of the parallel line going through (4,3).
8. The slope between two points is 4. The points are (1,2) and (6, r) calculate the value of “r"?
9. Given two points (5,9) and (w,4), the slope between both
points is 5. Calculate "w".
10. Write the equation of a line in slope-intercept form passing
through the points (1,2) and (0,4).

NUMBER SENSE
1. Two numbers multiply to 24 and add up to 10. What are both
numbers.
2. x + y = 30 and (x) (y) = 225, what are x and y?
3. List possible values for "k" such that the trinomial factors .
3x² + kx + 8

FACTORING
Factor the algebraic expressions .
1. x² - 225
2. x² +12x + 36
3. x⁴ - 900x²
4. x⁴ - 9x² + 18
5. x⁷ + 5x⁵+ 6x³