Patterns, Functions, and Algebra

Math 7

What is the value of x for which the following is true?

30x = 40 25% 25% 25% 25%

A. 3/4 B. 4/3 C. 10 D. 70

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 3 /4 14 15 4 /3 16 17 10 18 19 70 20

Which is a value for r that makes the following true?

–12 + r > 24

A. -13 B. 13 C. -37 D. 37

25% 25% 25% 25% 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 -1 3 14 15 13 16 17 -3 7 18 19 37 20

Which is a value for h that makes the following true?

–4h ≥ 24

A. -7 B. 7 C. -5 D. 5

25% 25% 25% 25% 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 -7 14 15 7 16 17 -5 18 19 5 20

Which best describes the following?

3x + 5x + 11 25% 25% 25% 25%

A. Constant B. Expression C. Equation D. Inequality

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 C on st an t 13 14 Ex pr es sio 15 n 16 Eq ua tio 17 n 18 In eq ua lit y 20

Tasha read 200 pages in her book this week. This was 50 more pages than she read last week. How many pages did she read last week?

25% 25% 25% 25%

A. 4 B. 40 C. 150 D. 250

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 4 15 40 16 17 150 18 19 250 20

Which is true for all values in the table below?

A. y = –x + 3 B. y = x − 1 C. y = x + 1 D. y = 2x + 3

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 17 18 19 20

Which best represents the number sentence shown?

x − 7 = 8

A. Seven less than a number is eight.

25% 25% 25% 25%

B. The quotient of x and 7 is eight.

C. Seven take away a number is eight.

1

D. A number subtracted from seven

2 3 4 5 6 7 8 9 10 11 12 13 Sev en les s t ha 14 n T a n umb he qu er ot 15 ..

ien t o f x an 16 Sev d en 7 ta i..

.

ke aw 17 ay A a n n umb 18 er ..

su bt ra ct ed fr ..

19 21 22

is eight.

23 24 25 26 27 28 29 30 20

If z stands for the number, which best represents the sentence below?

Forty less than thirty is a number.

A. 40 − 30 = z B. 30 − 40 = z C. 40 − z < 30 D. z − 30 < 40

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 17 18 19 20

4x + 4______ Which should be placed on the blank line above to make an inequality?

A. = 12 B. > 12 C. - 12 D. ÷ 12

25% 25% 25% 25% 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 = 12 14 15 > 12 16 17 -1 2 18 19 ÷ 12 20

If n stands for the number, which best represents the following phrase?

The sum of a number and five divided by fifteen

A. A

25% 25% 25% 25%

B. B C. C D. D

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 A 14 15 B 16 17 C 18 19 D 20

Ginni wrote the following geometric sequence in her notebook.

3, 9, 27, 81, 243, 729, . . .

What would be the 8th term in Ginni’s sequence?

A. 1,458 B. 2,187 C. 5,832 D. 6,561

25% 25% 25% 25% 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 1458 16 2187 17 18 5832 19 20 6561

Which table contains only values that make the following true?

y = 2x + 7 25% 25% 25% 25%

A.

B.

C.

D.

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 18 B 19 C 20 D

Kirk wrote the number pattern shown below.

0, 2, 5, 9, 14, 20 He found that the differences between the numbers increased by 1 as shown below.

If the differences continue to increase by 1, what will be the 9th number in Kirk’s original pattern?

25% 25% 25% 25%

A. 35 B. 38 C. 44 D. 54

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 35 17 38 18 19 44 20 54

Which phrase best represents the following?

A. Seven added to the quotient of a number and five B. Seven added to the quotient of five and a number C. The sum of seven and five divided by a number D. Five divided by a number added to seven

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 25% 25% 25% 25% 14 15 Sev en a dd ed to ...

16 Sev en a dd to 17 ...

T he 18 su of sev ...

19 Fi ve d ivi ded b ...

20

Which represents all the values for u that make the following true?

u + 5 > 7

A. u > 2 B. u > 12 C. u < 2 D. u < 12

25% 25% 25% 25% 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 u 14 > 15 16 u > 12 17 u < 2 18 19 u < 12 20

What value of p makes the following true?

p − 4.5 = 2.5

A. −7.0

B. −2.0

C. 2.0

D. 7.0

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 17 18 19 20

What is the solution to the number sentence?

25% 25% 25% 25%

A. c = 4 B. c = 30 C. c = 50 D. c = 400

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 c = 4 15 c = 16 17 c = 18 19 c = 40 0 20

Which could be used to find the number n?

Four less than a number, n, is equal to fifteen.

A. n − 4 = 15 B. 4 − n = 15 C. n − 15 = 4 D. 15 − n = 4

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 17 18 19 20

Ginger spent $24 at the fair, which was three times the amount she spent last year at the fair. How much money did Ginger spend last year at the fair?

A. $8 B. $21 C. $27 D. $72

25% 25% 25% 25% 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 $8 15 16 $21 17 18 $27 19 20 $72

6z > 36 The above is —

A. an expression B. an equation C. an inequality D. a variable

25% 25% 25% 25% 1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 a 13 n ex pr es sio n 14 a 15 n eq ua tio n 16 a n 17 eq ua lit y 18 a 19 ria bl e 20

A large box contains 11 smaller boxes of raisins. The price of the large box is $2.75. Each of the smaller boxes of raisins costs the same amount. Which could be used to find d, the price of a smaller box?

1 21

A. 11d = 2.75

B. d + 11 = 2.75

C. d − 11 = 2.75

D. d/11 = 2.75

2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 17 18 19 20

Which table contains only values that satisfy the following? y = x + 5

A.

B.

25% 25% 25% 25%

C.

D.

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 A 17 18 B 19 C 20 D

The graph displays the relationship between time and profit. Which equation represents the relationship between time (t) and profit (P)

?

A. One B. Two C. Three D. Four

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 25% 25% 25% 25% 18 w o 19 T hr ee 20 F ou r

Which is an expression?

A. 5x + 3 B. 5x = 3 C. 5x ≥ 3 D. 5x < 3

1 21 2 22 3 23 4 24 5 25 6 26 7 27 8 28 9 29 10 30 11 12 13 14 15 16 17 18 19 20