Page 211 - Algebra 1

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Write Why is there no conclusive value for x in the equation _3 x + 5 = 2x - _1 x + 5? Explain.
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Multi-Step Amy works in a kitchen appliance store. She earns $65 daily and a commission worth $10 less than one-fifth of the value of each appliance she sells. Let m equal the value of an appliance.
a. Write an expression for Amy’s daily salary if she sells one appliance every day.
b. Write an expression for Amy’s daily salary if she sells n appliances every day.
c. If you know the value of m and n, which part of the expression would you
solve first?
Multiple-Choice Which expression is equivalent to 4(x2 - 4) + 3z3(4z7)?
A 4x2 -16+3z10 C 4x2 -16+12z21
Error Analysis Two students solved Explain the error.
B 4x2 -16+12z10
D 4x-16+12z10 _3z _
- 4q = 6 for z. Which student is correct? 23
Student A
3z - 4q = 6 __
23 3(3z) - 2(4q) = 6
9z - 8q = 6
9z = 6_+ 8q
z = 6 + 8q 9
Student B
3z - 4q = 6 __
23
3(3z) - 2(4q) = 6(6)
9z - 8q = 36
9z = 36 + 8q
z = 4 + _8 q 9
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Finance Compound interest is calculated using the formula A = P(1 + _r )t, where 1
P = principal (amount originally deposited), r = the interest rate, and t = time in years. If $1500 is deposited into an account and compounded annually at 5.5%, how much money will be in the account after 10 years?
Verify Suppose that _3 = _x . Show that x equals 75. 4 100
Verify Is m = _2 a solution for _1 m + _5 = _11 ? Explain. If false, provide a correct 3 3618
solution and check.
Justify Simplify 20 · $9 + 10 · $13. Justify each step.
The Great Pyramid The base of the great Pyramid of Giza is almost a perfect square. The perimeter of the base measures about 916 meters. What is the length of each side of the pyramid’s base?
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Saxon Algebra 1