Question

Based on Chapter 2 of the textbook and Unit 2 of the study guide. For each of the following, write on the blank line the letter of the word or phrase that best answers the question or completes the statement. 1. Translate the following sentence into an equation. The sum of twice a number and 13 is two less than three times 2. (A) 2(x+13) = 3x - 2 (B) 2r +13=2-3r (C) 2r + 13 = 3r-2 (D) 2c +13=3(2-2) Evaluate 26-51 + 1 if b= 1. (A) -2 (B) 2 C -8 (D) 4 If 1 meter = 1.094 yards, use dimensional analysis to find 2 kilometers in miles (Hint: 1 mi = 1760 yd) (A) 1.24 mi (B) 1.83 mi (C) 2.19 mi (D) 1608.78 mi Solve 4(t+1)=61-1. (A) 22 (B) 1 (C) 0 (D) 1. 1121 American School-Lansing, IL

Answer 1

1) sum of twice a number x and 13 means 2x+13

two less than three time of x means 3x-2

they are equal so

2x+13=3x-2

option C

2)

|2b-5|+1

put b=1

|2*1-5|+1= 3+1= 4

option D

3)

2km means 2000meter

1 meter is 1.094 yard

so

2000m =1.094*2000 yard = 2188 yard

1 mile = 1760 yard .

so

Hyard = 1760 miles

so

1 -* 2188miles = 1.24miles 1760

so answer is 1.24 miles

option A.

4)

4(t+1)=6t-1

4t+4= 6t-1

on rearrangement

6t-4t= 4+1=5

2t= 5

t = 2.5 = 2

option A