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MAT-115: INTERMEDIATE ALGEBRA Written Assignment 2 2.1: Use a General Strategy to Solve Linear Equations S olve the linear equation. 1. 3 ( x + 4 )= 24 3x+12=24 3x=36 x=6 2. 5 ( 2 n + 3 )= 25 -10n-15=25 -10n=40 n= -4 C lassify each equation as a conditional equation, an identity, or a contradiction. T hen, find the solution. 3. 2 ( 6 x 1 )= 3 ( 4 x + 8 ) 12x-2=12x+16 -2=24 contradiction 4. 8 ( 3 x + 2 )= 28 x + 16 4 x 24x+16=24x+16 identity Solve. 5. 3 4 x + 1 2 = 1 4 4( 3 4 x + 1 4 1 2 ¿ = 4 ¿ ) 3x + 2=-1 3x=-3 x=-1 6. 0.8 x + 0.7 = 0.6 x 3.3 0.2x+0.7=-3.3 0.2x=-4.4 x= -20 2.2: Use a Problem Solving Strategy Solve using a problem solving strategy. 7. Three-fifths of the people at a concert are children. If there are a total of 60 people at the concert, what is the total number of children at the concert? What is the total number of adults at the
3 5 x + x =60 5( 3 5 x + x ¿ = 60 5 8x=300 x=37 8. There are 20 girls in a school club. The number of girls is 6 more than twice the number of boys. Find the number of boys. 2b+6=20 2b=14 There were 7 boys in the school club. Copyright © 2018 by Thomas Edison State University. All rights reserved.
Solve the number word problems. 9. The difference of a number and 8 is 3. Find the number. x-8=3 x=11 10. The sum of twice a number and eight is twenty. Find the number.

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