1 The number of marbles in 13 bags
#1 The number of marbles in 13 bags The number of marbles you had before purchasing more bags. The number of marbles in each of the 13 bags.
#2 The number of children Jamie has. The number of months. The monthly tuition for the science club The one-time materials fee. The total cost for one child to join the science club.
#3 Use the area model.
#4 Multiply Exponents Add Exponents To raise to a power; multiply exponents. To multiply; add exponents.
#5 Simplify the radicals. 1 Simplify the numerator and denominator. 9 Re-write the equation with all terms in the same base. Use the properties of exponents.
#6 Simplify the radicals. Use the properties of exponents again.
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#9 Simplify each of the following. When dividing the same base, subtract the exponents. Do not leave a negative exponent in the answer.
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# 11 Distribute Combine Like Terms Divide each side of the equation by 3. Subtract 2 t from each side of the equation. each Add Divide 13 to each side of the equation by equation. 18. Subtract 2 w from each side of the equation. Add 10 to each side of the equation.
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# 13 8 hours
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# 15 Combine like terms. Divide each side of the equation by 3. Add 6 to each side of the equation. x represents the number of football cards!
# 16 Draw and label the triangle. Combine Like Terms Divide each side of the equation by 4.
# 17 Change the inequality direction when dividing by a negative. e. d. f.
# 18 Clear the denominator by multiplying each side of the equation by 4. Combine Like Terms. Subtract 213 from each side of the equation. The plant height must be 79 inches or taller.
# 19 Clear the denominator by multiplying each side of the equation by 6. Combine Like Terms. Subtract 62 from each side of the equation. Mrs. Hawk can have no more than 28 questions.
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# 21 Substitute the values for x and y into the equation. Now solve for A.
# 22 Substitute the values for x and y into the equation. Now solve for D.
# 23 Marcy has $150 to buy packages of hot dogs and hamburgers for her booth at the carnival. At her local grocery store she found packages of hot dogs cost $6 and packages of hamburgers cost $20. a. Write an equation that can be used to find the possible combination of hot dog and hamburger packages Marcy can buy using her budget of exactly $150. (Hint: Use d to represent the number of hot dog packages and b to represent the number of hamburger packages. ) b. Solve the equation for d. c. Solve the equation for b. (or equivalent)
# 24 Andrew needs exactly 120 pencils and markers for his class to play the review game he created. His supply closet has boxes of pencils with 12 in each and boxes of markers with 6 in each. a. Write an equation that can be used to find the number of boxes of pencils and boxes of markers Andrew will need to take to reach his total of 120. b. Re-write the equation so that is could be used to find the number of pencil boxes. c. Re-write the equation so that is could be used to find the number of marker boxes.
# 25 This is not a function because – 4 (domain) is assigned to more than one value in the range. This is a function because every element of the domain is assigned to exactly one element in the range. This is not a function because – 3 is assigned to multiple values in the range.
# 26 Divide each side of the equation by 0. 3. 40 miles Subtract 1 from each side of the equation.
# 27 Divide each side of the equation by 25. Subtract 10 from each side of the equation. 7 months
# 28 Combine Like Terms… Distribute Combine Like Terms…
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# 32 a. There are no games left in the warehouse after 27 shipments. b. He has 9, 000 games in the warehouse before making any shipments. c. The slope represents the decrease in the number of games in the warehouse per shipment.
# 33 192 b. Both intercepts are 0. This means no cookies can be made with no cups of flour.
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# 36 The graph below shows the average Valentine’s Day spending between 2003 and 2012. Slope is the average rate of change for a linear function. (2010, 120) 103) (2009, (2005, 102) 98) (2007, (2004, 100) a. What is the average rate of change in spending $11 per year between 2005 and 2007? b. What is the average rate of change in spending $0. 50 per year between 2004 and 2010? c. What is the average rate of change in spending $1 per year between 2009 and 2010?
# 37 Translate the line 4 units left.
# 38 Translate the line 3 units up.
# 39 Initial value Common difference
# 40 Find the slope… Find the yintercept…
# 41 Find the slope… Find the yintercept…
# 42 Every 3 days, 1 additional golf cart is repaired
# 43 Every day there are 5 less golf carts sold
# 44 No Solution
# 44 Infinitely many solutions
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# 45 Let x be the number of bricks and y the number of blocks. Substitute Distribute Combine Like Terms Subtract 43. 68 from each side of the equation. Divide each side of the equation by -1. 18.
# 46 300 adult tickets were sold. Let a = # adult tickets and c = # of child tickets Use substitution to replace c with 3 a. 300 can now be substituted into either equation for a. 900 child tickets were sold.
# 47 Let S = # of small dogs and L = # of large dogs Since we are looking for L, let’s eliminate S. Add the second equation. + 9 large dogs were groomed.
# 48 where C is the cost and d is the number of disks
# 49 Answers will vary. Below are sample answers. We can multiply the first equation by – 1. We can multiply the first equation by – 5.
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# 52 175 feet 25 seconds
# 53 about 4. 5 seconds about 26 feet
# 54 FACTOR FACTOR
# 55 FACTOR FACTOR
# 56 FACTOR
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# 57 FACTOR
# 57 Notice that EVERY term is a perfect square and the operation is subtraction. This is difference of squares.
# 57 FACTOR
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