Questions:
1. Build up the following fraction so that it is equivalent to the fraction on the left hand side of the equation.
2/7 = ?/42
2. Perform the indicated operations without using a calculator.
-10 -18 =
-1 + (-20) =
3. Determine if x = 2 is a solution to the following equation
2x+1 = 5
4. Simplify the following expressions by combining like terms
3x2(x-2)+3(2x2-1)
5. Solve the following equation for x. Show your work and check your answer.
1.2x -2.1 = -3.75
6. Solve the following equation for a. Show your work and check your answer.
a/6 - a/3 = -1
7. Find two consecutive even integers whose sum is 50
8. Solve the following equation for a. Show your work and check your answer.
2a/3 = -20
9. Solve the following equation for x. Show your work and check your answer.
2(x+1) = 5
10. Solve the following equation for v. Show your work and check your answer.
1/5v = -(1/2)v+1/10
11. Graph the line that goes through the point (-1,2) with slope -1
12. Graph the line that goes through the point (0,3) with slope -2
13. find the slope and y-intercept for the line below
2x-y = 3
14. find the slope and y-intercept for the line below
y-3x = 2
15. Determine if the following two lines are parallel, perpendicular or neither
y = -2x+3
y = -2x+3
16. Determine if the following two lines are parallel, perpendicular or neither
y + 2x-1
y = -2x+1
17. find the equation of the line that is parallel to the line given and passes through the point given
x+y = 3
(-1,0)
18. find the equation of the line that is perpendicular to the line given and passes through the point given
2x+y = 1
(1,-1)
19. Write a formula that expresses the relationship described by the following statement
Y varies directly as R
20. Solve the following system of equations by substitution. Determine whether the equations are independent, dependent or inconsistent.
y = 4x -1
y = x+8
21. Solve the following system of equations by substitution. Determine whether the equations are independent, dependent or inconsistent.
2x-4y = 0
6x +8y = 5
22. Solve the following system of equations by substitution. Determine whether the equations are independent, dependent or inconsistent.
x = -3y+2
7y = 3x
23. Solve the following system of equations by addition. Determine whether the equations are independent, dependent or inconsistent.
x - y = 1
x+y = 1
24. Solve the following system of equations by addition. Determine whether the equations are independent, dependent or inconsistent.
2x-5y+13
3x+4y + -15
25. Solve the following system of equations by addition. Determine whether the equations are independent, dependent or inconsistent.
1/4x+1/3y = 5
x-y = 6
26. The length of a rectangular photo is 2 inches greater than the width. The perimeter is 20 inches. Find the length and width.