Algebra I GP1

How can the additive inverse be used to evaluate the problem below? -3 - (-6) Because 3 + (-6) is an equivalent expression, the answer is -3. Because 3 + (-6) is an equivalent expression, the answer is 3. Because -3 + 6 is an equivalent expression, the answer is -3. Because -3 + 6 is an equivalent expression, the answer is 3

D

Morena, a scuba diver, used the expression below to describe her position in relation to sea level. 0 + (-15) + 6 Which statement could describe the diver's movements? Morena started at 15 feet below sea level, then dove down 6 more feet. Morena started at 15 feet above sea level, then dove down 6 more feet. Morena started at sea level, dove down 15 feet, then dove down 6 more feet. Morena started at sea level, dove down 15 feet, then rose up 6 feet.

D

Which expression is equivalent to 6 - (-8)? -6 + 8 -6 + -8 6 + -8 6 + 8

D

Bobby's football team received four five-yard penalties in the first quarter, which meant his team lost yardage in their progress toward the goal line. What was the change in their progression down the field as a result of these penalties? -20 yards -5 yards 5 yards 20 yards

A

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game? 48div4=g 4div48=g gdiv=48 4divg=48

A

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. Each time that this totaled 20 feet deeper, she would stop and check her instruments to make sure they were working properly. After Laurie had checked her instruments 3 times, she was at her maximum depth. Which expression best represents Laurie's maximum depth? (4)(-5)(3) (-4)(-5)(-3) (-5)(20)(3) (-5)(-20)(-3)

A

The temperature at 9 a.m. is 2 degrees. The temperature rises 3 more degrees by noon. Which expression describes the temperature at noon? 2 + 3 2 + (-3) -2 + (-3) -2 + 3

A

What are the like terms in the expression? 4m-9+3n+2 -9 and 2 -9 and 3n 4m and 3n 4m and -9

A

What term can you add to 5/6X-4 to make it equivalent to 1/2X-4? -1/3x -1/3 1/2x 1/2

A

When multiplying two negative integers, what is the sign of the product? positive negative zero one

A

Which expression is represented by the diagram? -6-(-1) -6-1 -5-(-1) -5-1

A

Which expressions are equivalent? 3x-7 and-7y+3x 3x-7y and7y-3x 3x-7y and3y-7x 3x-7y and-3y+7x

A

Which is the value of this expression when x=-2 and y=-3? 10xpower 3 ypower2 -720 -360 360 720

A

Which point on the number line represents the product (-4)(-2)(-1)? mc008-2.jpg Point A(-8) Point B(-7) Point C(7) Point D(8)

A

Which sum does the model below represent? 4+(-7)= -3 4+7=11 8+(-3)=4 11+(-4)= -3

A

Zoey is 346 meters below sea level while visiting a part of Israel. She descends 71 meters to visit the Dead Sea. Which integer represents the elevation, in meters, of the Dead Sea? -417 -375 -335 -275

A

A football team has attempted 6 running plays. The change in field position resulting from each play is shown in the table. Running Play Outcomes Play 1 -3 yards Play 2 2 yards Play 3 -1 yard Play 4 -2 yards Play 5 -3 yards Play 6 1 yard What is the average change in field position per running play? -6 yards per play -1 yard per play 0 yards per play 1 yard per play

B

A meteorologist used the expression below to describe how the temperature changed. -5 + (-4) Which statement could describe how the temperature changed? The temperature was -5 degrees, then it increased 4 degrees. The temperature was -5 degrees, then it decreased 4 degrees. The temperature was 5 degrees, then it increased 4 degrees. The temperature was 5 degrees, then it decreased 4 degrees.

B

A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales. Empty Scale Weight Displays Scale 1 -1 ounce Scale 2 -2 ounces Scale 3 0 ounces Scale 4 -1 ounce What is the average error in the scale displays? -4 ounces -1 ounces 0 ounces 1 ounce

B

Dan is using tiles to add -8 + 6. He begins with the tiles shown below. mc006-1.jpg What is the sum of -8 + 6? -14 -2 2 14

B

Jordan is using a number line to model the division expression mc007-1.jpg. What should be a step in his work? Draw a chain of bounces to the right, 12 units wide, starting at -24 and ending at 12. Draw a chain of bounces to the left, 12 units wide, starting at 0 and ending at -24. Draw a chain of bounces to the right, 12 units wide, starting at 0 and ending at 24. Draw a chain of bounces to the left, 12 units wide, starting at 24 and ending at 0.

B

What is the value of the expression? -16+12 -28 -4 4 28

B

Which expression is modeled by this set of arrows on the number line? -6div(-3) -6div3 6div(-3) 6div3

B

Which property was used to simplify the expression? 3c+9+4c=3c+4c+9 distributive property commutative property associative property inverse property

B

Which shows two expressions that are equivalent to (-7)(-15)(-5)? (-7)(-75)and(-1)(525) (-1)(525)and(35)(-15) (35)(-15)and(115)(-5) (-1)(525)and(115)(-5)

B

Alicia drove 265 miles in 5 hours. What is the average rate that she traveled? 49 miles per hour 51 miles per hour 53 miles per hour 55 miles per hour

C

Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 feet to inspect the base of the bridge underwater, then descends another 4 feet to check on the concrete anchoring the base. Which best represents Garrett's position with respect to the water level? -54 feet -30 feet -18 feet -10 feet

C

Rahul solved the equation 2(x - 1/8) - 3/5x =55/4 . In which step did he use the addition property of equality? Step 1 Step 2 Step 3 Step 4

C

Sean says that to add a number to -100 and still have -100 is to add zero. Candice says that she can add two numbers to -100 and still have -100. Who is correct and why? Sean is correct because adding any numbers other than zero will result in a different number. Candice is correct because if the two numbers total 100, then the sum will be -100. They are both correct because adding two numbers that are opposites is equivalent to adding zero. Neither is correct because adding any number to -100 will result in a different number.

C

The quotient of two numbers is negative. What must be true about the two numbers? The dividend is negative. The divisor is negative. Either the dividend or the divisor is negative, but not both. Both the divisor and the dividend are negative.

C

Carmen drew this figure to represent the dividend of a division expression. mc006-1.jpg What number is represented by the arrow? -9 0 1 9

D

Rita is adding 3 + (-8) + 1. She rewrites the expression as 3 + (-1) + 8. What is Rita's error? She used the commutative property, which cannot be used with negative numbers. In the new expression, -8 and 1 should both be negative. She used the associative property which should only be used with positive numbers.. She switched the negative signs for -8 and 1.

D

What is the distance between -3 and 2 on the number line? mc002-1.jpg -5 -1 1 5

D

What is the product of -5 and -8? -40 -13 13 40

D

Which expression has the same sum as the one below? -15 + 6 15 + 6 -6 + (-15) 15 + (-6) 6 + (-15)

D

Which expression is represented by the diagram? -6-(-4) -6-4 -10-4 -10-(-4)

D

Which input value produces the same output value for the two functions on the graph? x = -3 x = -1 x = 1 x = 3

D

Which number is the additive inverse of -5? -1/5 0 1/5 5

D

Which expression is equivalent to 3m+1-m? 2+m-1+m 1+m 3m-1 3m

A

Janelle subtracts -4 from a number. The result is 2. What is the number? -6 -2 2 6

B