SAT Math Diagnostic

1. If x k − 1 3 = and k = 3, what is the value of x ?

• A) 2
• B) 4
• C) 9
• D) 10

2. For i = −1 , what is the sum (7 + 3 ) + (−8 + 9 ) i i ?

• A) −1 + 12i
• B) −1 − 6i
• C) 15 + 12i
• D) 15 − 6i

Tags

CCSS.HSN.CN.A.2

3. On Saturday afternoon, Armand sent m text messages each hour for 5 hours, and Tyrone sent p text messages each hour for 4 hours. Which of the following represents the total number of messages sent by Armand and Tyrone on Saturday afternoon?

• A) 9mp
• B) 20mp
• C) 5 +4 m p
• D) 4 +5 m p

Tags

CCSS.6.EE.B.6

4. Kathy is a repair technician for a phone company. Each week, she receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each day can be estimated with the equation P d = 108 − 23 , where P is the number of phones left and d is the number of days she has worked that week. What is the meaning of the value 108 in this equation?

• A) Kathy will complete the repairs within 108 days.
• B) Kathy starts each week with 108 phones to fix.
• C) Kathy repairs phones at a rate of 108 per hour.
• D) Kathy repairs phones at a rate of 108 per day.

Tags

CCSS.HSF.LE.B.5

5.  Which of the following is equivalent to the expression above?

• A) 4x y2 2
• B) 8 −6 xy y 2 2
• C) 2 +2 x y xy 2 2
• D) 2 +8 −6 x y xy y 2 22

Tags

CCSS.7.EE.A.1

A pediatrician uses the model above to estimate the height h of a boy, in inches, in terms of the boy’s age a, in years, between the ages of 2 and 5. Based on the model, what is the estimated i

• A) 3
• B) 5.7
• C) 9.5
• D) 14.3

7. The formula above gives the monthly payment m needed to pay off a loan of P dollars at r percent annual interest over N months. Which of the following gives P in terms of m, r, and N ?

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.4

8. If a b = 2, what is the value of b a 4 ?

• A) 0
• B) 1
• C) 2
• D) 4

9. What is the solution (, ) x y to the system of equations above?

• A) (−5, −2)
• B) (3, −8)
• C) (4, −6)
• D) (9, −6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

10. For the function g defined above, a is a constant and g(4) = 8. What is the value of g(−4) ?

• A) 8
• B) 0
• C) −1
• D) −8

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1