S1 Benchmark Review

S1 Benchmark Review

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8.EEI.7 - Solving Multi-step Equations

Multiple Choice

What is the 1st step in solving the following equation?

3x + 7 = x - 21

• Move variables to same side

• Add 7 to both sides

• divide both sides by 3

• Subtract 21 from both sides

Multiple Choice

What is the 2nd step in solving the following equation?

3x + 7 = x - 21

2x + 7 = -21

• Divide both sides by 2

• add 7 to both sides

• Subtract 7 from both sides

• Subtract 21 from both sides

Multiple Choice

What is the NEXT step in solving the following equation?

3x + 7 = x - 21

2x + 7 = -21

• 2x = -28

• 2x = 28

• 2x = 14

• 2x = -14

Multiple Choice

What is the 1st step in solving the equation?

2x - 4x = 1 - x

• -2x = 1-x

• -4x = 1 - x + 2x

• 8x = 1 - x

• 2x - 4x = 0

Multiple Choice

Which step is incorrect?

120 = -4(7a+2)

Step 1: 120 = -28a - 8

Step 2: 112 = -28a

Step 3: a=-4

• Problem is correct

• step 1

• step 2

• step 3

Multiple Choice

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 5n

Step 3: 32 = 5n

Step 4: 6.2 = n

• step 1

• step 2

• step 3

• problem is correct

Multiple Choice

Solve.

7 + 4x + 4x = 8x + 3 + 4

• no solution

• infinite solutions

• 7

• 3

Multiple Choice

Solve

7 + 3x = 14 + 3x

• infinite solutions

• no solution

• 5

• 9

Multiple Choice

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

Multiple Choice

2x - 3 + 4x = 27

• 12
• 4
• 5
• 15

Multiple Choice

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

8.GM.5 - Parallel Lines, Transversals & Triangles

Multiple Choice

What type of angle pair is ∠1 and ∠5?

• alternate interior angles
• corresponding angles
• alternate exterior angles
• vertical angels. 

Multiple Choice

In the diagram, which of the following statements are false?

• ∠1 and ∠4 are vertical angles
• ∠4 and ∠5 are alternate interior angles
• ∠1 and ∠8 are alternate interior angles
• ∠2 and ∠6 are corresponding angles

Multiple Choice

Name the angle relationship.

• Alternate Interior
• Alternate Exterior
• Corresponding
• Vertical Angles

Multiple Choice

Angle C and P are...

• Alternate Interior Angles
• Consecutive Interior Angles
• Corresponding Angles
• Alternate Exterior Angles

Multiple Choice

Angle S and A are...

• Alternate Interior Angles
• Consecutive Interior Angles
• Corresponding Angles
• Alternate Exterior Angles

8.GM.5 - Parallel Lines, Transversals & Triangles

Multiple Choice

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______. 

• 45°
• 90°
• 180°
• 360°

Multiple Choice

Find the measure of the missing angle.

• 47

• 57

• 53

• 133

Multiple Choice

What is the measure of the missing angle?

• 82
• 43
• 55
• 180

8.GM.7 - Pythagorean Theorem

Multiple Choice

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse
• scalene
• isosceles
• right

Multiple Choice

Name the longest side of a right triangle.

• leg a
• leg b
• leg 
• hypotenuse

Multiple Choice

Determine the length of the missing side.

• 7

• 8

• 17

• 23

Multiple Choice

What is the length of x?

• 5
• 7
• 8
• 25

Multiple Choice

_{^{Find the missing side}}

• 9
• 41
• 6.4
• 3

Multiple Choice

Find h

• 35.60
• 35.00
• 35.71
• 61.03

Multiple Choice

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

• 25 feet
• 26 feet
• 27 feet
• 28 feet

8.GM.9 - Volume and Surface Area

Multiple Choice

Find the volume to the nearest hundredth using 3.14 instead of Pi.

• 5572.5 cm³

• 506.6 cm³

• 126.7 cm³

• 1393.1 cm³

Multiple Choice

Find the volume to the nearest tenth using 3.14 instead of Pi.

• 12.6 ft³

• 37.7 ft³

• 18.8 ft³

• 6.3 ft³

Multiple Choice

Find the volume to the nearest tenth using 3.14 instead of Pi.

• 417.9 cm³

• 139.3 cm³

• 130.6 cm³

• 16712 cm³

Multiple Choice

Find the surface area

• 60.4 m²
• 188.4 m²
• 94.2 m²
• 881.9 m²

Multiple Choice

find the surface area of the cylinder .

• 456.33 m²

• 1444.4 m²

• 1245 m²

• 6666 m²