Algebra 1 Solutions

1. Which property justifies the following statement?

If 3a + 3b = 12 then 3(a + b ) = 12

• Commutative property of multiplication

• Distributive property for multiplication

  over addition

• Multiplicative identity property

• Associative property of addition

2. Consider the procedure used below to solve the given equation.

Given: -11(x+8) = 9

(1st step) -11x - 88 = 9

(2nd step) -11x = 97

(3rd step) x = -97/11

• Transitive property of equality

• Commutative property of addition

• Distributive property

• Distributive property

3. Which statement is always true?

• 4 + a = 4a

• a + (-4 + 4) = a + 0

• a/4 = 4/a

• 4 - a = a - 4

4.Which expression correctly represents $3 less than twice the cost, c?

• 3 - 2c

• 3 - 2 + c

• 2c - 3

• c/2 - 3

5.What is the value of (4x-5y) / 2y

if x = -6 and y = 2

• -26.5

• -8.5

• -3.5

• -0.5

6.The miles per gallon, m, of an experimental car is given by

m = 75 - 0.3(s/10)²

where s is the car’s speed in miles per hour. What is the car’s miles per gallon when its speed is 100 miles per hour?

• 10 mpg

• 30 mpg

• 45 mpg

• 50 mpg

What is the solution to the inequality shown below?

6m – 48 > 30

• m < 22

• m > 5

• m > 38

• m > 13

What is the solution to 4(2x-3) = 2(3x+1) ?

• -5

• 1

• 7

• 10

Tambria’s property has the shape of a trapezoid with the dimensions shown. If the perimeter of the property is 340 feet, what is the value of x?

• 45 ft.

• 3.66 ft

• 180 ft

• 85 ft

What is the apparent range of the function of x shown?

• The set of all real numbers greater than or equal to 4.

• The set of all real numbers greater than or equal to 1.

• The set of all real numbers less than or equal to 1.

• The set of all real numbers.