Download Name: Date: Period: _____ MP2 Quarterly Assessment Study Guide

Name: ___________________________ Date: ________________
MP2 Quarterly Assessment Study Guide – Algebra 1
Period: _____
Solving Multi-step Inequalities
Working with Sets
1) What is a set?
2) What is a subset?
3) What is the empty set?
List all the subsets of each set.
4) {a, b, c, d}
5) {red, blue, yellow}
6) Suppose U = {0, 2, 4, 6, 8, 10} is the universal set and A = {2, 4, 6}. What is A' ?
7) Suppose U = {… , 5, 3, 1, 3, 5, … } is the universal set and
R = {1, 3, 5, …}. What is R'?
Suppose U = {1, 2, 4, 7, 11, 15}, A = {2, 4, 7}, and B = {1, 2, 4}. Tell whether
each statement is true or false. Explain your reasoning.
8) A  U
9) U  B
Write each set in roster form and in set-builder notation.
10) M is the set of integers that are greater than 5.
11) R is the set of odd natural numbers that are less than 12.
Compound Inequalities, Absolute Value Equations and Inequalities
1) What is a compound inequality?
Solve each compound inequality.
4)
8 < w + 3 < 10
5)
6m – 15 ≤ 9 or 10m > 84
Solve each equation. If there is no solution, write no solution.
6)
|r  9| = 3
7) |c + 3| = 15
Unions and Intersections of Sets
1) What is the union of sets?
2) What is the intersection of sets?
Find each union or intersection. Let X = {1, 4, 9}, Y = {x | x is an odd whole number
less than 10}, and Z = {2, 4, 6, 8}.
3) X Y
4) X
Z
Using Graphs to Relate Two Quantities
Sketch a graph to represent the situation. Identify your variables.
1) During a trip, your speed increases during the first hour and
decreases over the next 2 hours.
5) Y Z
Linear Functions
1) What is a function?
For each table, determine whether the relationship is a function. Then represent the
relationship using words, an equation, and a graph.
2)
3)
Formalizing Relations and Functions
1) What is a relation?
2) What is a domain?
3) What is a range?
Find the range of each function for the given domain.
9. f (x) = –3x + 2; {–2, –1, 0, 1, 2}
10. f (x) = x3; {–1, –0.5, 0, 0.5, 1}
Slope, Parallel Lines, Perpendicular Lines