Algebra Unit 2 TEST Equations and Inequalities

Last updated about 5 years ago
20 questions
Note from the author:
Solving equations and inequalities
Directions: Choose the answer that best completes the statement or answers the question.
2

Which will produce a compound inequality that is false?

2

Which of the following represents the equivalent interval notation for:

2

The sum of twice a number, n, and 2 less than three times the same number,n, is the same as 20 can be presented by which of the following?

2

Which could not be the first step to solve for
in the given equation?

2

What is the solution to the following equation?

2

When the following equation is solved for x in terms of a and b , its solution is which of the choices below?

2

Which value of x satisfies the equation?

2

Which of the following equations would you use to solve the following:
Daniel is currently 26 years older than his son. In six years he will be 3 times older than his son. How old are they now?

2

Which of the follwoing graphs shows the solution set to -2x+8<12?

2

Sebastián was saving $8.50 each week in order to have enough money for a phone that costs $122. If his father started him off with $25, which of the following is the minimum number of whole weeks Sebastián will need to save?

Directions: Clearly indicate the necessary steps for each problem below. A correct answer with no work will not receive full credit.
3

Lucas is trying to find 3 consecutive integrs such that five times the largest is equal to the sum of the two smaller integers. Set up an equation and solve it to help Lucas determine the numbers.

2

Given 2x+ax-7>-12, determine the largest integer value of a when x=-1.

2

Solve the inequality below and state the smallest possible vaue for x in the solution set.

4

Graph the following compound inequality on the number line and write the solution using interval notation.

6

Brooke has at most $90 to spend on clothes. She wants to buy a pair of jeans that costs $34 and spends the rest on t-shirts that cost $8 each.
Do the following:
a) Write an inequality for the numer of t-shirts,t, she can puchase.
(b) Find the possible number of t-shirts she can buy AND state this in interval notation.

4

Solve and graph the following compount inequality AND write in interval notation.

2

Solve for x in terms of the other variables.

2

Solve for x in terms of the other variables.

3

Solve for x in terms of the other variables.


3

Solve for x in terms of the other variables.