Algebra I Final Review

What points are shown on the following number line?

• -5 ; -2 ; 0 ; 3.5 ; 4

• -4.5 ; -3 ; 0 ; 2 ; 5

• -4.5 ; -2 ; 0.5 ; 3 ; 5

• -4.5 ; -2 ; 0 ; 2 ; 5

Answer explanation

The correct choice is -4.5 ; -2 ; 0.5 ; 3 ; 5, as it includes points that are evenly spaced and cover both negative and positive values, accurately representing a range on the number line.

Tags

CCSS.6.NS.C.6C

Which operation should be completed FIRST to find the value of the expression? 7 - 4 ÷ 2 · 3

• 7 - 4

• 4 ÷ 2

• 2 · 3

Answer explanation

To evaluate the expression 7 - 4 ÷ 2 · 3, we follow the order of operations (PEMDAS). The first operation to complete is 4 ÷ 2, which simplifies the expression before moving on to subtraction and multiplication.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Which operation should be completed FIRST to find the value of the expression? 5 - 3 + 2 - 1

• 5 - 3

• 3 + 2

• 2 - 1

Answer explanation

To evaluate the expression 5 - 3 + 2 - 1, the first operation to complete is 5 - 3. According to the order of operations, we perform addition and subtraction from left to right, starting with the first operation.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Which operation should be completed FIRST to find the value of the expression? 7 - 2(4) + 3

• 7 - 2

• 2(4)

• 4 + 3

Answer explanation

To evaluate the expression 7 - 2(4) + 3, the first operation to complete is 2(4), which is multiplication. This must be done before subtraction and addition according to the order of operations.

Which choice BEST describes the first mistake? 20 ÷ 4 + 6 · 5

• The student should not have divided 20 and 4

• The student should not have added 5 and 6

• The student should not have multiplied 11 and 5

• There was no mistake. The work and answer is correct

Answer explanation

The first mistake was adding 5 and 6 before completing the division and multiplication. According to the order of operations, multiplication and division should be performed before addition.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

What is the opposite of -1?

• 1

• -1

• 0

Answer explanation

The opposite of a negative number is a positive number. So, (- 1) --> ( 1 )

Tags

CCSS.6.NS.C.6A

Which is NOT an expression?

• 2x² + 3x - 2

• 3x - 2y

• x + 2 = 4

• 3xy

Answer explanation

The expression 'x + 2 = 4' is an equation, not an expression. An expression does not include an equality sign, while the other options are all algebraic expressions.

Tags

CCSS.6.EE.A.2B

What is a coefficient?

• The letter in an expression

• The number in front of the variable

• The inequality symbol

• The number 1

Answer explanation

A coefficient is the number that appears in front of a variable in an expression, indicating how many times the variable is multiplied. Therefore, the correct answer is 'The number in front of the variable'.

Tags

CCSS.6.EE.A.2B

Use the order of operations (PEMDAS) to simplify. Show work:

(3 + 7) × 2

• -8

• 20

• 12

• 17

Answer explanation

First, calculate inside the parentheses: (3 + 7) = 10. Then, multiply by 2: 10 × 2 = 20. Therefore, the simplified result is 20.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Use the order of operations (PEMDAS) to simplify. Show work:

(40 ÷ 4) - (9 - 5)

• 6

• 2.5

• 152

• 14

Answer explanation

First, calculate inside the parentheses: (40 ÷ 4) = 10 and (9 - 5) = 4. Then, subtract: 10 - 4 = 6. Thus, the simplified result is 6, which is the correct answer.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2