Question
1. There is a total of 19 coins in a jar, consisting of nickels and dimes. (A) Introduce variables and write an equation that represents
1. There is a total of 19 coins in a jar, consisting of nickels and dimes. (A) Introduce variables and write an equation that represents this.
The total VALUE of the nickels and dimes is $1.55. (B) Write an equation that represents this fact.
(C) Use substitution and the equations that you found in parts (A) and (B) to find the number of nickels and dimes in the jar.
2. Alfred bought some stock for $215 that grew by 130.3% in the first year. How much was the investment worth at the end of the year?
3. If you can buy 7 gallons of gas for $18, how much will 9 gallons cost? Round to the nearest cent
4. Find the slope of the line: 6x5y=2 (Give an exact decimal answer)
5. Find the value of each pair of points to the slope of the line going through the two points.
a. (-3,-4) and (2,-4)
b. (6,5) and (2,-3)
c. (1,-9) and (-3,5)
6. Question 6 options: Consider the system of linear equations: 6x+8y=7 Equation 1 and 19x+10y=11 Equation 2
a. To eliminate y, what is the smallest positive integer that you should multiply equation 1 by?
b. To eliminate y, what is the smallest positive integer that you should multiply equation 2 by?
7. Kathy has two cats, Max and Fluffy. Together they weigh 21 pounds. Max's weight is 3 pounds more than half of Fluffy's weight.
If the given equation is one of the equations that correctly models this problem, wrrite a Y next to it. Otherwise, enter an N. (M=Max's weight in pounds and F=Fluffy's weight in pounds.)
a. M - F = 21
b. M + F = 21
c. M = 2F + 3
d. M = 1/2 F + 3
e. F = 1/2 M +3
8. Molly is making 64 oz of strawberry infused water. She uses three times as many ounces of water as ounces of juice. Solve using a system of linear equations.
a. How many oz of strawberry juice does she use?
b. How many oz of water does she use?
9. Wrrite T in front of the operation if the statement is True and F if the statement is False. (p.s the numbers for the this question are exponents)
a. r5r3=r15
b. r3r5=r8
c. (x4)2=x8
d. (x4)2=x6
10. Find the value of the exponent N if: x8x2x=xN (p.s the numbers for the this question are exponents)
11. Find the value of the exponent N if: (y8y4)2=yN (p.s the numbers for the this question are exponents)
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