Reference no: EM13902709
1) Follow order of operations to simplify the following expression: (-2)-9 + (20 x 2 /-10)
2) Evaluate the expression using the values given for the variables: x2 + y + xy; use x = -3, and y = 5
3. Simplify the expression: 10(-10b + 7) - 6(4b - 3)
4. Simplify the expression and write your answer as a fraction in lowest terms: (-7/5) - 3/2 + 1/2
5. Use a proportion to set up and solve the following problem. Round your answer to the nearest tenth if necessary. If a 6 ft tall petrified stump casts a 34.2 ft long shadow, then how long is the shadow that a 9.2 ft tall adult elephant casts?
6. Set up and solve an equation to answer the question below. Round your answer to the nearest tenth of a percent if necessary: 39 is what percent of 108?
7. Find the percentage change. Round to the nearest tenth of a percent if necessary and state whether the change is an increase or a decrease From $87.40 to $55
8. Find the final price of the item below, given that the tax will be applied to the discounted price.
Original price of a cell phone: $179.50
Discount: 30%
Tax: 6%
9. Use simple interest to find the ending balance, given the following values for principal, rate, and time.
$58,000 at 9.7% for 8 years
10. Solve the equation given in #10.
-2 + 4x = 34
11. Solve the given equation: 72 = -3(8x - 1) + 3(5 + 2x)
12. Solve the given equation: 55/12 = 6x - (7/2)x
13. Solve the given equation: -6.32 + 0.9v = v - 5.9
14. Solve the inequality in #14, write its solution set in interval notation, and graph the solution set on a number line.
10 p + 4 < 64
15. Solve the inequality in #15, write its solution set in interval notation, and graph the solution set on a number line.
-1 - (3k + 5) > 3(k - 6)
16. Find the slope of the line. Assume that the scale on each axis is 1 unit per tick mark.
17. Find the x- and y-intercepts of the line represented by the equation below. Plot both intercepts on a coordinate system and drawn the line through them.
x - 3 y = -3
18. Write the slope-intercept form of the equation of the line through the given points.
through: (-2, -1) and (4, -5)
19. Find at least three ordered pairs that satisfy the equation and sketch the graph of the line through them.
-2 = x - 2 y
20. Solve the system of equations by the method of substitution.
-4x + 3 y = -11
y = 5x
21. Write the point-slope form of the equation of the line described.
through: (5, -4), parallel to y = -(6/5)x-1
22. Write the slope-intercept form of the equation of the line described.
through: (-5, -1), perpendicular to y = (5/4)x + 3
23. Solve the system by graphing both lines on one coordinate system.
3x - y = -4
4x + y = -3
24. Solve the system of equations by the method of elimination.
16x + 6y = 4
8x - 2y = 12
25) Kathryn and Shayna are selling pies for a school fundraiser. Customers can buy apple pies and pumpkin pies. Kathryn sold 3 apple pies and 13 pumpkin pies for a total of $164. Shayna sold 9 apple pies and 5 pumpkin pies for a total of $118. Find the cost each of one apple pie and one pumpkin pie.