**8th Warm-Up**

**Date: 05.08.17(A)**

If

is the value of

(A) –36 (B) –6 (C) –3 (D) 2 (E) 4

Date: 05.10.17(A)

What is the domain of the function

(A)

Date: 05.12.17(A)

If

Date: 05.16.17(A)

6

Date: 05.18.17(A)

Two years ago, Sophie was

(A)

If

*m*and*n*are directly proportional, and*m*= –2 when*n*= 6, whatis the value of

*m*when*n*= –12?(A) –36 (B) –6 (C) –3 (D) 2 (E) 4

Date: 05.10.17(A)

What is the domain of the function

*f*(*x*) =*x*– 4?(A)

*x*> 4 (B)*x ≥*4 (C)*x*≥ 2 (D)*x*> –4 (E)*x*≤ 4Date: 05.12.17(A)

If

*y*=*mx*+*b*, what is*m*in terms of*x*,*y*, and*b*?Date: 05.16.17(A)

__2____x____2____– 3____x____– 2__=6

*x*+ 3Date: 05.18.17(A)

Two years ago, Sophie was

*x*years old. How old will she be in*y*years?(A)

*x*+*y*(B)*x*+*y*– 2 (C)*x*–*y*+ 2 (D)*x*+*y*+ 2 (E)*x*–*y*– 2

**7th Warm-Up**

Date: 04.14.17(A)

8^(2/3) =

Date: 04.18.17(A)

If |

I. –13 II. 3 III. 19

(A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III

Date: 04.24.17(A)

If 3(4

Date: 04.26.17(A)

For which of the following functions is

(A)

Date: 04.28.17(A)

Which of the following describes the solution set to the inequality 5 +

(A)Date: 04.14.17(A)

8^(2/3) =

Date: 04.18.17(A)

If |

*x*+ 5| + 3 = 11, the value of*x*could beI. –13 II. 3 III. 19

(A) I only (B) II only (C) I and II only (D) II and III only (E) I, II, and III

Date: 04.24.17(A)

If 3(4

*x*– 3) = 2*x*+ 1, what is the value of*x*?Date: 04.26.17(A)

For which of the following functions is

*f*(1) >*f*(2)?(A)

*f*(*x*) = 2*x*– 1 (B)*f*(*x*) =*x^*2 +*x*(C)*f*(*x*) =*x / ( x+1)*(D)*f*(*x*) = 3*x*(E)*f*(*x*) = 3 –*x^*2Date: 04.28.17(A)

Which of the following describes the solution set to the inequality 5 +

*x*≤ 2*x*– 3?(A)

*x*≥ 8 (B)*x*≤ 8 (C)*x*≥ 2 (D)*x*≤ 2 (E)*x*= 4**6th Warm-Up**

Date: 03.22.17(A)

If 5

(A) 3 (B) 4 (C) 6 (D) 7 (E) 12

Date: 03.24.17(A)

Mariana buys

Date: 03.28.17(A)

If

Date: 03.30.17(A)

If

Date: 04.10.17(A)

Which of the following is a root of the equation

Date: 03.22.17(A)

If 5

*n*+ 8 = 2*n*+ 20, then*n*=(A) 3 (B) 4 (C) 6 (D) 7 (E) 12

Date: 03.24.17(A)

Mariana buys

*b*blouses for*d*dollars. How many dollars do*b*– 1 blouses cost?Date: 03.28.17(A)

If

*n^*4 = 256, what is the value of 5*n^*4?Date: 03.30.17(A)

If

*a*– 4*b*=*c*, what is*b*in terms of*a*and*c*?Date: 04.10.17(A)

Which of the following is a root of the equation

*x^*2 +*x*– 6 = 0?**(A) –6 (B) –3 (C) –2 (D) 0 (E) 1**

**5th Warm-Up**

Date: 03.07.17(A)

Date: 03.07.17(A)

**If**

(A) –63 (B) –36 (C) 24 (D) 48 (E) 72

*f*(*x*) = 5*x^*2 – 8*x*+ 3, then*f*(–3) =(A) –63 (B) –36 (C) 24 (D) 48 (E) 72

Date: 03.09.17(A)

Date: 03.13.17(A)

How much less than

(A) 3 (B) 6 (C) 9 (D) 12 (E) 27

Date: 03.15.17(A)

Let the operation @ be defined by

Date: 03.20.17(A)

If 3

Date: 03.09.17(A)

*(x^*2 –*y^*2)/ (3*x*– 3*y)*= ?Date: 03.13.17(A)

How much less than

*x*+ 9 is*x*– 3?(A) 3 (B) 6 (C) 9 (D) 12 (E) 27

Date: 03.15.17(A)

Let the operation @ be defined by

*m*@*n*=*nm*+*n*for all numbers*m*and*n*. If 5@7 =*x*@3, what is the value of*x*?Date: 03.20.17(A)

If 3

*x*– 2*y*= 8 and*x*– 4*y*= 3, what is the value of*x*+*y*?**4th Warm-Up**

Date: 02.16.17(A)

**What is the value of 3**

*y^*

**2 + 2**

*y*

**, when**

*y*

**= –1?**

**(A) –5 (B) –3 (C) –1 (D) 1 (E) 5**

Date: 02.23.17(A)

**If**

*x^*

**2 +**

*y^*

**2 = 85 and (**

*x*

**–**

*y*

**)^2 = 49, what is the value of**

*xy*

**?**

**(A) 18 (B) 36 (C) 54 (D) 81 (E) 134**

Date: 02.27.17(A)

**If 4**

*x*

**+ 3 > –13, all of the following can be**

*x*

**EXCEPT**

**(A) –5 (B) –3 (C) 0 (D) 2 (E) 4**

Date: 03.01.17(A)

**If 4**

*n*

**– 1 = 82, then**

*n*

**=**

Date: 03.03.17(A)

**Five less than twice a number is 11. What is the number?**

**(A) –6 (B) –3 (C) 3 (D) 8 (E) 16**

3rd Warm-Up

Date: 02.02.17(A)

The denominator of a certain fraction is 9 more than its numerator. If the fraction is equal to 2/5, what is the denominator of this fraction?

(A) 4 (B) 6 (C) 10 (D) 15 (E) 20

Date: 02.06.17(A)

If

(A) 2 (B) 13 (C) 18 (D) 20 (E) 42

Date: 02.08.17(A)

If

(A)

Date: 02.10.17(A)

If

Date: 02.04.17(A)

If 3^(3

(A) 0 (B) 1 (C) 2 (D) 3 (E) 9

3rd Warm-Up

Date: 02.02.17(A)

The denominator of a certain fraction is 9 more than its numerator. If the fraction is equal to 2/5, what is the denominator of this fraction?

(A) 4 (B) 6 (C) 10 (D) 15 (E) 20

Date: 02.06.17(A)

If

*a*and*b*are inversely proportional, and*a*= 7 when*b*= 6, what is*a*when*b*is 21?(A) 2 (B) 13 (C) 18 (D) 20 (E) 42

Date: 02.08.17(A)

If

*xyz*< 0 and*xy*> 0, which of the following MUST be true?(A)

*x*> 0 (B)*y*> 0 (C)*z*< 0 (D)*xz*< 0 (E)*yz*> 0Date: 02.10.17(A)

If

*a*+ 2*b*= 21 and 3*a*=*b*, what is the value of*b*?Date: 02.04.17(A)

If 3^(3

*x)*= 9^(*x*+ 1), what is the value of*x*?(A) 0 (B) 1 (C) 2 (D) 3 (E) 9

**2nd Warm-Up**

Date: 01.19.17(A)

A club is planning a trip to an upcoming concert. In order to pay the group rate, they must reserve entire rows of seats. Each row in the concert hall contains 16 seats. If there are 300 members in the group, how many rows must they reserve?

Date: 01.23.17(A)

If purchased individually, a can of tuna costs $0.79. A multipack of 12 cans costs $7.80. How much money would be saved by purchasing multipacks instead of 60 individual cans of tuna?

(A) $0.14 (B) $1.68 (C) $7.01 (D) $8.40 (E) $100.80

Date: 01.25.17(A)

A fruit punch is made by combining 1 quart of grape juice, 3 quarts of orange juice, 2 quarts of pineapple juice, and 2 quarts of ginger ale. What percent of the final mixture is pineapple juice?

(A) 12.5% (B) 25% (C) 33.3 % (D) 37.5% (E) 50%

Date: 01.27.17(A)

If

(A) {2, 4, 6, 8} (B) {3, 6, 9, 12, 15, 18} (C) {6} (D) {2, 3, 4, 6, 8, 9, 12, 15, 18}

(E) {2, 4, 6, 8, 10, 12, 14, 16, 18}

Date: 01.31.17(A)

Maggie collects marbles. She has one jar filled with 50 marbles and 4 jars each filled with 30 marbles. How many marbles does Maggie have in total?

(A) 80 (B) 150 (C) 170 (D) 230 (E) 250

Date: 01.19.17(A)

A club is planning a trip to an upcoming concert. In order to pay the group rate, they must reserve entire rows of seats. Each row in the concert hall contains 16 seats. If there are 300 members in the group, how many rows must they reserve?

Date: 01.23.17(A)

If purchased individually, a can of tuna costs $0.79. A multipack of 12 cans costs $7.80. How much money would be saved by purchasing multipacks instead of 60 individual cans of tuna?

(A) $0.14 (B) $1.68 (C) $7.01 (D) $8.40 (E) $100.80

Date: 01.25.17(A)

A fruit punch is made by combining 1 quart of grape juice, 3 quarts of orange juice, 2 quarts of pineapple juice, and 2 quarts of ginger ale. What percent of the final mixture is pineapple juice?

(A) 12.5% (B) 25% (C) 33.3 % (D) 37.5% (E) 50%

Date: 01.27.17(A)

If

*A*is the set of even integers less than 10, and*B*is the set of multiples of 3 less than 20, what is the union of sets*A*and*B*?(A) {2, 4, 6, 8} (B) {3, 6, 9, 12, 15, 18} (C) {6} (D) {2, 3, 4, 6, 8, 9, 12, 15, 18}

(E) {2, 4, 6, 8, 10, 12, 14, 16, 18}

Date: 01.31.17(A)

Maggie collects marbles. She has one jar filled with 50 marbles and 4 jars each filled with 30 marbles. How many marbles does Maggie have in total?

(A) 80 (B) 150 (C) 170 (D) 230 (E) 250

1st Warm-Up

Date: 01.04.17(A)

If

Date: 01.06.17(A)

The units digit of

(A) 352 (B) 253 (C) 2053 (D) 12,465 (E) 20,053

Date: 01.10.17(A)

Daisy typed 3 pages in 5 minutes. At this rate, how many pages would she type in 8 hours?

(A) 4 4/5 (B) 13 1/3 (C) 120 (D) 288 (E) 800

Date: 01.12.17(A)

4, 12, 36, 108, . . .

The first term in the sequence above is 4, and each term after the first is determined by multiplying the preceding term by 3. What is the value of the 50th term of the sequence?

Date: 01.17.17(A)

Set

The intersection of sets

(A) {3, 4, 9, 15, 20} (B) {1, 5, 6, 12} (C) {1, 4, 7, 9, 13, 20}

(D) {9, 14, 20} (E) {2, 4, 9, 11, 21}

1st Warm-Up

Date: 01.04.17(A)

If

*n*is a number between 1500 and 2500 that can be expressed as the product of three consecutive two-digit integers, what is one possible value of*n*?Date: 01.06.17(A)

*x*= 10,412The units digit of

*x*is increased by 3, its tens digit is increased by 5, and its thousands digit is increased by 2 to create the number*y.*How much greater is*y*than*x*?(A) 352 (B) 253 (C) 2053 (D) 12,465 (E) 20,053

Date: 01.10.17(A)

Daisy typed 3 pages in 5 minutes. At this rate, how many pages would she type in 8 hours?

(A) 4 4/5 (B) 13 1/3 (C) 120 (D) 288 (E) 800

Date: 01.12.17(A)

4, 12, 36, 108, . . .

The first term in the sequence above is 4, and each term after the first is determined by multiplying the preceding term by 3. What is the value of the 50th term of the sequence?

Date: 01.17.17(A)

Set

*X*= {1, 4, 5, 6, 9, 12, 20}The intersection of sets

*X*and*Y*is {4, 9, 20}. Which of the following could be set*Y*?(A) {3, 4, 9, 15, 20} (B) {1, 5, 6, 12} (C) {1, 4, 7, 9, 13, 20}

(D) {9, 14, 20} (E) {2, 4, 9, 11, 21}