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Miscellaneous EquationBased

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SAT questions for equation basd from algebra
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Question 4 If a = 2, b = -4, and c = 0.5, then what is the value of a(b - 6c) b 2 c ? (A) -1.75 (B) -1.25 (C) -0.25 (D) 0.25 (E) 1.25 Question 5 If b = 12 and c = 13, then c 2 - b 2 = ? (A) 1 (B) 5 (C) 18 (D) 25 (E) 313 Question 6 The formula P = 15x - 1000 gives the profit in dollars of a toy company when it sells x number of teddy bears. If the company sells 150 teddy bears, what is the company's profit in dollars? (A) -12,750 (B) 66.67 (C) 1,250 (D) 2,250 (E) 3,250 Studyguide for the SAT Skill Quiz B: Substitution © Copyright 2007, TCA, LLC. 142
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Question 4

If a = 2, b = -4, and c = 0.5, then what is the value of a(b - 6c) b2c

?

(A) -1.75

(B) -1.25

(C) -0.25

(D) 0.25

(E) 1.25

Question 5

If b = 12 and c = 13, then c2

- b2

= ?

(A) 1

(B) 5

(C) 18

(D) 25

(E) 313

Question 6

The formula P = 15x - 1000 gives the profit in dollars of a toy company when it sells x number of teddy bears. If the company sells 150 teddy bears, what is the company's profit in dollars?

(A) -12,750

(B) 66.67

(C) 1,250

(D) 2,250

(E) 3,250

Studyguide for the SAT Skill Quiz B: Substitution

©

Copyright 2007, TCA, LLC.

142

Question 7

The weekly profit function of Hal's Hamburger Hut is

P(x) = 2x2

- 150x - 2000 where x is the number of hamburgers sold in a week. If 100 hamburgers are sold in a week, what is Hal's weekly profit in dollars?

(A) 30

(B) 3,000

(C) 7,500

(D) 23,000

(E) 53,000

Question 8

If y = 2x2

- x, which of the following values of x will result in the largest value of y?

(A) -2

(B) -1

(C) 0

(D) 1

(E) 2

Studyguide for the SAT Skill Quiz B: Substitution

©

Copyright 2007, TCA, LLC.

143

Question 4

A company that produces tables finds that its monthly profit indollars is given by the equation P = 250x - 12,500, where x is thenumber of tables that the company sells in a month. If the profitgoal for April is $10,000, how many tables must the company sell in order to reach the goal?

(A) 60

(B) 70

(C) 80

(D) 90

(E) 100

Question 5

Solve for b if 3a + 5(a + b) = 7.

(A) 8a - 7 5

(B) 7 - 8a 5

(C) 75

- 8a

(D) 8a - 7

(E) 7 - 8a

Studyguide for the SAT Skill Quiz B: Rational Linear Equations

©

Copyright 2007, TCA, LLC.

176

Question 6

Allen is a furniture delivery driver whose daily income in dollars isgiven by the equation I = 0.45m + 75, where m is the number of milesthat he drives in one day. If he made $142.50 on Tuesday, how manymiles did he drive that day?

(A) 150

(B) 175

(C) 200

(D) 225

(E) 250

Question 7

What is the solution set of 3x - 5 = 13 - 6x?

(A) {-73

}

(B) {12

}

(C) {1}

(D) {2}

(E) {9}

Question 8

What is the solution set to the equation 4x - 3 2 = 9?

(A) {10.5}

(B) {5.25}

(C) {1.875}

(D) {1.5}

(E) {6}

Studyguide for the SAT Skill Quiz B: Rational Linear Equations

©

Copyright 2007, TCA, LLC.

177


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