Download Grade: x/12

You may wish to assign some or
all of these exercises to gauge
students’ readiness for Unit 2
activities.
Grade:
x/12
Prerequisite Skills
• Laws of exponents (Items 1, 4)
• Multiplying binomial
expressions (Item 2)
• Factoring a quadratic
expression (Item 3)
• Dividing polynomials (Item 5)
• x- and y-intercept (Item 6)
• Patterns (Items 7, 8, 9)
• Linear regression (Item 10)
• Patterns (Item 8)
Answer Key
36x
1. ____
6
4
y
2a. 4x - 2x + 2x - 1
3
2
b. x 2 - 4x + 13
3. (x - 5)(x - 1); x = 5 or x = 1
4. 81
-2| 1
5.
UNIT 2
Getting
Ready
Write your answers on notebook paper or
grid paper. Show your work.
( )
6x 2 2.
1. Simplify ___
y3
2. Multiply.
9. Draw the 4 th stage of the figure below Explain
how you would create any figure in the pattern
and find the number of squares.
a. (2x 2 + 1)(2x - 1)
b. (x - 2 + 3i) (x - 2 - 3i)
3. Factor x 2 - 6x + 5. Then solve
x 2 - 6x + 5 = 0
3 .
4. Evaluate ___
3 323
5. Use synthetic division to divide
x 3 - 7x - 6 by x + 2.
327
stage 1
stage 2
stage 3
10. Find a linear regression model for the data.
x
y
1
4
6. Find the x- and y-intercepts of
y = -2(x - 3) + 4.
3
8
4
10
7. Describe the pattern displayed by
1, 2, 5, 10, 17, ….
5
13
8. A simple interest loan with a principal of $5000
1 years. The total payment
is paid back after 2__
2
is $5875. What is the annual rate of interest on
the loan?
For #2, a, b, and c count separately
© 2010 College Board. All rights reserved.
UNIT 2 GETTING READY
0 -7 -6
-2
4
6
1 -2 -3 | 0
x 2 - 2x - 3
6. x-intercept:
0 = -2(x - 3) + 4, x = 5,
y-intercept:
y = -2(0 - 3) + 4, y = 10
7. Answers may vary. Start with
1 and add consecutive odd
numbers, or for a n, the value
is (n - 1) 2 + 1.
74 SpringBoard® Mathematics with MeaningTM Precalculus
073-074_SB_PC_U2UO_SE.indd 74
9. Stage 4
Answers will vary. Each stage has the number of columns as
the stage number and the number of dots in the column is
always one more than the stage number.
10. y = 2.2x + 1.6
74 SpringBoard® Mathematics with Meaning™ Precalculus
1/25/10 7:33:17 P
© 2010 College Board. All rights reserved.
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