Quadratic Functions SR Review answers
Aim: To review for Quadratic Exam #2
HW: Study for the test!
Warm Up
Using any technique, solve the equation: 8x2 + 3x - 5 = 4x + 2x2 - 3
SMART Response Review Game
Rules
- Use a piece of scrap paper or your notebook to work on the questions that follow
- Have a TI-83/84 on your desk and Graph paper (only used for final question)
- Don't copy any questions down - They will all be posted on the website
- We will be covering 10 questions (*time management - work quickly and efficiently)
- Enter all final answers into your remotes and flip over when done
- No discussion or asking questions as everyone works, we will go over the solution AFTER everyone
has submitted
- Whoever has the most correct answers at the end of the period wins a HW PASS. You will be
disqualified from this contest by doing any of the following:
- Talking during the question
- Looking at someone else's SR Remote
May 06, 2015
Quadratic Functions SR Review answers
1 Which equation has the same solutions as x2 +10x + 8 = 0 ?
A (x + 10)2 = -8
B (x + 5)2 = 25
C (x + 5)2 = 17
D (x - 5)2 = 17
2 The product of two consecutive even integers is 48. If x represents
the smaller integer, which equation could be used to find all values
that satisfy this problem?
A x2 - 2x = 48
B x2 + x = 48
C (x + 1)(x + 2) = 48
D x2 + 2x = 48
May 06, 2015
Quadratic Functions SR Review answers
3 Matt Harvey throws a baseball up in the air. The path that the ball follows is
modeled by the function h(t) = -8t2 + 64t + 3, where h(t) represents height (feet)
and t represents the time in seconds. What is the maximum height reached by
this baseball and how long does it take to reach this height?
A 3 feet; 8 seconds
B 131 feet ; 4 seconds
C 123 feet ; 3 seconds
D 164 feet ; 5 seconds
4
Which of the following functions has roots at x = 9 and x = -7 ?
A f(x) = x2 + 2x - 63
B g(x) = x2 + 16x + 63
C h(x) = x2 - 2x - 63
D m(x) = x2 + 2x + 2
May 06, 2015
Quadratic Functions SR Review answers
5
May 06, 2015
Which of the following represents the solution set to the quadratic
inequality x2 + 4x - 32 ≥ 0 ?
A -8 ≤ x ≤ 4
B x ≤ -4 or x ≥ 8
C -4 ≤ x ≤ 8
D x ≤ -8 or x ≥ 4
Test: 0
-32 ≤ 0 (false)
answers cannot be between
-8 and 4 since 0 didn't work
6 Based on the discriminant for the function g(x), which statement most
accurately describes the nature of its roots?
A 2 roots ; rational
B 0 roots ; imaginary
C 2 roots ; irrational
D 1 root; rational
g(x) = 4x + (x - 3)2
Quadratic Functions SR Review answers
May 06, 2015
7 What is the solution to the quadratic equation below?
A
x = -3 or x = 4
B
x=
C
x = 20 or x = -3
5
5x2 - 12 = - 17x
5
or x = -5
3
3
D x = 5 or x = - 4
8
Based on the functions m(x) and g(x), which statement regarding this system of
equations is true?
2
m(x) = 0.5x
g(x) = 3x - 4
A m(x) and g(x) never intersect, thus the system has no solution
B
m(x) and g(x) only intersect at (2, 2), so it is the only solution to
the system
C
m(x) and g(x) intersect at (-4, 8) and (1, -1), so the system has 2
valid solutions
D m(x) and g(x) intersect at (2, 2) and (4, 8), so the system has 2
valid solutions
Quadratic Functions SR Review answers
May 06, 2015
9 Find all solutions to the quadratic system of equations below:
Practice solving algebraically
G(x) = 5x2 + 20x - 4
H(x) = (2x + 1)(5 + 2x)
A (9, 437) and (-1, 3)
B (8, 357) and (1, -21)
C (-9, 221) and (1, 21)
D (6, 221) and (10, 525)
10 Which function models the quadratic inequality graphed below?
A f(x) ≤ x2 - 8x + 15
B f(x) ≥ x2 - 8x + 15
C f(x) ≥ x2 + 8x + 15
D f(x) > x2 + 8x + 15
Quadratic Functions SR Review answers
Final Question (No SMART Response)
11. On graph paper, neatly sketch a graph of g(x) and state the coordinate of one point
in the solution set.
g(x) > x2 + 4x - 3
Winner :
Summary
What are the most important things to remember for tomorrow's exam?
1.
2.
3.
May 06, 2015