Download Test 2 Review Homework

Name ___________________
Test 2 Review Homework
Date _____
Period ___
Simplify each expression. Write all answers in standard form.
1) 3 – 5(a – 4)
2) 7x(x2 + 8.5x) – 5x + 4
3) Is the expression linear or non-linear? If it is non-linear, justify why.
1
a) 𝑥 + 3
b) 4(x – 5) + 15
4) Find the value of x that makes the equation true.
a) x + 3 + x – 8 + x = 55
b)
1
𝑥 + 10 =
2
1
4
𝑥 + 54
c) 5(3x + 9) – 2x = 15x – 2(x – 5)
Check
3) 3(y – 14) – 5(y + 12)
5) Answer the following questions based on the rules for classification of solutions.
a) What are the conditions that make an equation have one solution?
b) Give one example of an equation where the solution will be unique, that is, only one solution is
possible.
c) What are the conditions that make an equation have no solution?
d) Give one example of an equation where there will be no solution.
e) What are the conditions that make an equation have infinitely many solutions?
f) Give one example of an equation where there will be infinitely many solutions.
Define the variable, write an equation, and solve the following word problems.
6) You buy 15 apples and a $2.75 block of cheese. The bill is $6.20. How much does each apple
cost?
7) In a basketball game, the Knicks scored 12 points more than twice the Celtics. If the Knicks
scored 108 points, how many points did the Celtics score?