Alg 1B Chapter 2 Review

Divisibility Rules

100

Is 349870 divisible by 10?

Yes, because it ends in a 0 

200

Is 549876 divisible by 2?

Yes, because it ends in a 6 which is an even number

300

Is 34962 divisible by 4? 

No, because the last two digits CANNOT be divided by 4. 

400

Is 542 divisible by 6?

No, because it is not divisibly by both 2 and 3

500

Is 420 divisible by 6

Yes, because it is divisible by both 2 and 3

Order of Operations

100

Simplify the expression

-6^2

-36

200

Simplify the expression by combining any like terms.

2b − 6 − 10b −2

-8b - 8

300

Simplify the expression:

2(5r+9) - 4(r+8)

6r-14

400

Simplify the expression:

2x + 2(-1+x)

4x-2

500

Is 0 a solution of x= 2x +11

(Show work)

No 

Solving Equations

100

Solve the equation for x:

9/2x=18

x=4

200

Solve the equation for z.

9z − z = − 1 + 2z − 1 − 16

z=-3

300

Solve the equation for x: 

(2(x+3))/4=3x-1

x=1

400

Solve the equation for y

0.10(y − 3) + 0.14y = 0.50y − 0.9

30/13

500

Solve the equation: 

2x-1/3 = x +3/4

x = 13/12

2.5 and 2.7 Problem Solving

100

Write the following phrase as an algebraic expression: 

Three times a number, increased by 12

3x + 12

200

The sum of twice a number and 6 is equal to the sum of the number and 1. 

2x + 6 = x + 1

300

The sum of 3 consecutive even integers is 78. Find the integers. Write and solve an equation to answer this question. 

Equation: x + (x+2) + (x+4) = 78

Numbers: 24, 26, 28

400

A used automobile dealership recently reduced the price of a used compact car by 5%. If the price of the car before discount was $18,000, find the discount and the new price. 

• Discounted amount: $900

• New Price: $17,100

500

The two stadiums with the largest capacities are Marshfield Stadium and Bowden Stadium. Marshfield Stadium has a capacity of 6,495 more than Bowden. If the combined capacity for the two stadiums is 210,019, write and solve an equation to find the capacity for each stadium. 

Equation: 2x+6, 495 = 210,019

Bowden Stadium:101,762 

Marshfield Stadium:108,257 

2.6 Literal Equations

100

Solve the formula for the variable h 

f = 11gh

h = f/(11g)

200

Solve the equation for y:

 4x +y = 48

y = 48 - 4x

300

Solve the formula for N:

V = ZNT

N= V/ZT

400

Solve the formula for f: 

D = (1/3)fk

f = 3D / k

500

Substitute the given values into the given formula and solve for the unknown variable. If necessary, round to one decimal place. 

S = 4LW + 2WH; S=160, L = 9, W = 4

H = 2