Benchmark Review (Linear equations, Pythagorean theorem)

Benchmark Review (Linear equations, Pythagorean theorem)

Multiple Choice

Find h

• 35.60
• 35.00
• 35.71
• 61.03

Multiple Choice

A 15 ft ladder is leaning against a building. The base of the ladder is 9 ft from the building. How high up does the ladder reach?

• 12
• 15
• 9
• 10

Multiple Choice

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Multiple Choice

Would a triangle with these side lengths be a right triangle?
4, 5, 6

• Yes
• No

Multiple Choice

Find the length of the missing side.

• 20 in.

• 68 in.

• 16 in.

• 80 in.

Multiple Choice

What is the value of "x"?

• 28

• 20

• 10.6

• 4

Multiple Choice

What is the length of the hypotenuse in the triangle shown?

• 3

• 4

• 5

• 8

Multiple Choice

Which equation reflects the right triangle shown?

• x² + 14² = 20²

• 14² + 20² = x²

• 14² – 20² = x²

• x² – 14² = 20²

Multiple Choice

a= 12, b= 35, c= ? Find c

• 32

• 37

• 19

• 20

Multiple Choice

Does the set of numbers represent a right triangle?

20, 25, 15

• Yes

• No

Multiple Choice

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes
• No
• Maybe
• Pythagoras

Multiple Choice

8(3a + 6) = 9(2a - 4 )

Solve for x.

• x = 14

• x = 13

• x = -14

• x = 13

Multiple Choice

Mr. Mayo correctly solved the equation and got the following result: -19 = -19 Interpret his result.

• NO SOLUTION

• INFINITELY MANY SOLUTIONS

• ONE SOLUTION, x = 8

• ONE SOLUTION, x = -8

Multiple Choice

How many solutions in the following equation?

-7 + 5x = 5x + 9

• ONE SOLUTION x = -2

• NO SOLUTIONS

• ONE SOLUTION, x = 2

• INFINITELY MANY SOLUTIONS

Multiple Choice

When solving for the value of x in the equation , Samir wrote the following lines:

[line 1] 5x + 7(x - 3) = 9x + 2 - 4x

[line 2] 5x + 7x - 21 = 5x + 2

[line 3] 12x - 21 = 5x - 2

[line 4] 7x - 21 = -2

[line 5] What should Samir do next to isolate the variable?

• collect the constants by adding 2 to each side

• collect the constants by adding 21 to each side

• subtract 7x from each side

• divide each side of the equation by 7

Multiple Choice

After collecting the variables on the left side of the equation, the coefficient of the x term will be?

[line 1] 5x + 7(x - 3) = 9x + 2 - 4x

[line 2] 5x + 7x - 21 = 5x + 2

[line 3] 12x - 21 = 5x - 2

[line 4] what is the coefficient of the x term?

• 12

• 7

• 17

• 5