Solve the questions below.
1. If x = −2, then x + 4 = ?
A. −6
B. −2
C. 2
D. 6
2. When x = 3, what is the value of x2 − 4 ?
F. −1
G. 2
H. 5
J. 13
3. What is the value of the expression 2x2 + x, if x is 3 ?
A. 9
B. 18
C. 21
D. 27
1. Use substitution to find the value of expressions
2. Correctly add, subtract, multiply, and divide negative numbers
3. Correctly use the order of operations
Circle the number that corresponds to your confidence level in your knowledge of this subject before beginning the lesson. A score of 1 means you are completely lost, and a score of 4 means you have mastered the skills. After you finish the lesson, return to the bottom of this page and circle your new confidence level to show your improvement.
1 2 3 4 Before Lesson 1 2 3 4 After Lesson
Math Tip
Show Your Work: Many answer choices are designed to catch your mistakes and cause you to lose out on points. That is why you must show your work whenever you solve.
1. If x = 6, what is the value of 2x2 – 11x ?
A. –138
B. –6
C. 6
D. 138
2. What is the value of the expression x(x + 3)2, if x = 2 ?
F. 20
G. 25
H. 27
J. 50
3. If x = –5, what is the value of
1 1 x x ?
Two Wrongs Make a Right: Remember that multiplying or dividing two negatives will result in a positive value. Also, subtracting a negative number is the same as adding the positive version of that number.
1. If x = –3, what is the value of (x + 2)(x – 4) ?
2. If x = –1, what is the value of (2 – x)(4 – x) ?
3. If x = –2, what is the value of ?
1. If a = 0.3 and b = 0.9, then a 2 b 2 = ?
A. 0.0729
B. 0.09
C. 0.27
D. 0.81
DO YOUR FIGURING HERE.
2. What is the value of the expression 2 c ( c + 3) 2 if c = 2 ?
F. 20
G. 25 H. 40 J. 100
3. Given that 1 3 x = and 1 4 y = , what is the value of
END OF SET ONE STOP! DO NOT GO ON TO THE NEXT PAGE. UNTIL TOLD TO DO SO.
8.4.2 Set Two
4. What is the value of the expression ( a – b ) 3 when a = 3 and b = 4 ?
F. –3
G. –1
H. 1
J. 3
5. If x = 6 and y = 3, what is the value of the following expression? ( )( ) ( ) 2 2 yxyyx yxy +� �
y2 (x + y)2 (y – x) y (x – y)
A. –81 B. 27 C. 81 D. 243
6. If a = 2, b = 5, and c = –1, what is the value of 3 abac c � ?
F. –12
G. –8
H. 8
J. 12
DO YOUR FIGURING HERE.
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7. What is the value of the expression (2 x + y )(2 x – y ) when x = 4 and y = –5 ? A. –9 B. 9 C. 13
39
8. If x = –3, what is the value of
xx
+ � ?
9. What is the value of 50 – 3( x 2 – y 2 ) + x when x = 6 and y = –4 ?
–6
–4
26
DO YOUR FIGURING HERE.
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10. If y = –4, what is the value of + � 2 2 2 2 y y ?
–� 5 3
11. If x = 15, y = –3, and z = –2, what is the value of xy x yz � + ? A. 3 B. 17 C. 18 D. 45
12. If a = –2, b = 3, and c = 6, then 3 a 2 b 2 – 4 ac + c 2 = ? F. 48 G. 96 H. 192 J. 228
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13. If a = 11, b = 3, and c = –3, what does
( a + b – c )( b + c ) equal?
A. –17
B. –11
C. 0
D. 17
14. If q = –1, r = 4, and s = 7, what does ( q + r – s )( r – q ) equal?
F. –60
G. –20
H. –12
J. –6
15. If f = –3, g = –5, and h = 7, what does ( f + g + h )(2 f + h ) equal?
A. –11
B. –1
C. 1
D. 11
DO YOUR FIGURING HERE.
END OF SET FIVE STOP! DO NOT GO ON TO THE NEXT PAGE. UNTIL TOLD TO DO SO.
Substitution
Value
A number or measurement
Expression
A group of numbers, symbols, and operations that indicate a value
Show Your Work: Many answer choices are designed to catch your mistakes and cause you to lose out on points. That is why you must show your work whenever you solve.
Two Wrongs Make a Right: Remember that multiplying or dividing two negatives will result in a positive value. Also, subtracting a negative number is the same as adding the positive version of that number