Unit 2 Study Guide: Expressions & Inequalities DUE 9/17

Last updated about 1 year ago
20 questions
1

Use the expression below to answer the question.

25 + 15y + 4y - 16

Which expression is equivalent?

1

Select ALL expressions that are equivalent to 3(x + 3) - 12 + 5x.

1
1
1
Solve the equation.


n = _______
1
Solve the equation.


x = _______
1
Solve the equation.


a = _______
1
Bob solved the equation. His work is shown below.


Identify and explain Bob’s error in solving the equation. __________

What is the correct solution. __________
1
What value of a will the equation -ax + 7 = -5x + 7 have an infinite number of solutions?

a = _______
1
Sarah solved the equation. Her work is shown below.


Identify and explain Sarah’s error in solving the equation. __________

What is the correct solution? __________
1
Solve for b using the area formula of a triangle.


b = _______
1
Solve the equation for m.

y=mx+b

m = _______
1
Alice solved the equation. Her work is shown below.


Identify and explain Alice’s error in solving the equation. __________

What is the correct solution. __________
1

Emma, Luke and Noah each wrote expressions to represent their hourly earnings for an after-school job for a week where h represents the number of hours worked.

Emma: 8.75h + 21 Luke: 6(3.5h + 12) Noah: 9.75h + 13

How many hours will Emma and Noah have to work in order to make the same amount of money in one week?

1
Solve for x and graph in the show your work section.


_______
1
Solve for c :


State the greatest possible integer value for c in the solution set.

_______
1
On Saturday, you bowl at Mar Vista Bowl, where renting shoes costs $2 and each game bowled is $3.50. On Sunday, you bowl at Pinz where the shoe rental is free and each game bowled is $4.25.

How many games g would you have to bowl for you to spend less money on Saturday?

_______
1
The Home Cleaning Company charges $300 to power-wash the siding of a house plus $10 for each window. Power Clean charges $250 and $15 per window, and the price includes power-washing the siding. How many windows must a house have to make a total cost from Power Clean more expensive than Home Cleaning Company? Let w be the number of windows.
_______ Inequality
_______windows
1

Solve the compound inequality and graph its solution.

1
Due to the drought in California, many communities have tiered water rates. There are different rates for Conservation Usage, Normal Usage and Excessive Usage. The usage is measured in the number of hundred cubic feet (hcf) the property owner uses.
During the winter, a property owner will pay $24.72 plus $1.54 per hcf for Normal Usage. The bill for Normal Usage would be between or equal to $49.36 and $86.32. Write the compound inequality that represents how many hcf will he be allowed to use if he wants his usage to stay in the normal range?
_______
Graph the compound inequality in the show work section.