By Constantinescu C.
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Extra info for Spaces of measures
Find the number. Three more than five times a number is twenty-three. Find the number. 50 CliffsQuickReview Math Word Problems Answers: 1. 2(4 – x) = 16; x = –4 2. 5 + x = 3; x = –2 3. (2x) – 4 = 8; x = 6 4. 8 + 3x = 14; x = 2 5. x + 56 ÷ 7 = 11; x = 3 6. 3(3 – x) = 18; x = –3 7. 2x = x – 4; x = –4 8. 4x + 3(x + 4) = –9; x = –3 9. 3(x + 6) = 30; x = 4 10. 5x = 25; x = 5 11. 3x – 5 = 16; x = 7 12. 2x + 3 = 13; x = 5 13. x – 2x = 9; x = –9 14. x + 3x = 14; x = 72 15. 5x + 3 = 23; x = 4 Mixed Review Translate the following.
Distribute and combine like terms. 4x – 12 + 6 = 14 + 2x 4x – 6 = 14 + 2x 2a. Move all terms with variables to the left side of the equation. In this example, add a –2x to each side of the equation. 4x – 6 + –2x = 14 + 2x + –2x The addition property of equations states that if the same term is added to both sides of the equation, the equation remains a true statement. The addition property of equations also holds true for subtracting the same term from both sides of the equation. 2b. Place like terms adjacent to each other and simplify.
What is the number? 2. Translate the words into the correct symbols. 2(3 – x) = 4x 3. Distribute and combine like terms. 6 – 2x = 4x 4. Move the variables to the left side of the equation. 6 – 2x – 4x = 4x –4x 5. Simplify each side of the equation. 6 – 6x = 0 Note: The right side of the equation is now 0. The equation must have expressions on either side of the equality sign to be solvable. You cannot just leave the right side of the equation blank. 0 is the expression on the right side of the equation.