1. Dividing Real Numbers Simplify each expression. a. 70 ÷ (–5)
ALGEBRA 1 LESSON 1-6
Simplify each expression.
a. 70 ÷ (–5)
The quotient of a positive number and a negative number is negative.
= –14
The quotient of a negative number and a negative number is positive.
= 6
b. –54 ÷ (–9)
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2. Dividing Real Numbers Evaluate – – 4z2 for x = 4, y = –2, and z = –4.
ALGEBRA 1 LESSON 1-6 x y
Evaluate – – 4z2 for x = 4, y = –2, and z = –4.
– – 4z2 = – 4(–4)2 Substitute 4 for x, –2 for y, and –4 for z. x y –4 –2
= – 4(16) Simplify the power. –4 –2
= 2 – 64 Divide and multiply.
= –62 Subtract.
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3. Dividing Real Numbers (– ) (– ) Evaluate for p = and r = – .
ALGEBRA 1 LESSON 1-6 p r 3 2 3 4
Evaluate for p = and r = – .
= p ÷ r Rewrite the equation. p r
= ÷ Substitute for p and – for r. 3 2 4
(– )
= Multiply by – , the reciprocal of – . 3 2 4
(– )
= –2 Simplify.
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4. Dividing Real Numbers Simplify. 1. –8(–7) 2. –6(–7 + 10) – 4
ALGEBRA 1 LESSON 1-6
Simplify.
1. –8(–7) 2. –6(–7 + 10) – 4
Evaluate each expression for m = –3, n = 4, and p = –1.
p 4. (mp)3 5. mnp
6. Evaluate 2a ÷ 4b – c for a = –2, b = – , and c = – . 56
– 22 8m n –7 27 12 1 3 1 2 3 1 2
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