Grade 6 | Unit 6 | Lesson 8: Equal and Equivalent | Practice Problems

Draw a diagram of \(x + 3\) and a diagram of \(2x\) when \(x\) is 1. Draw a diagram of \(x+3\) and of \(2x\) when \(x\) is 2. Draw a diagram of \(x+3\) and of \(2x\) when \(x\) is 3. Draw a diagram of \(x+3\) and of \(2x\) when \(x\) is 4. When are \(x+3\) and \(2x\) equal? When are they not equal? Use your diagrams to explain.

Do \(4x\) and \(15+x\) have the same value when \(x\) is 5? Are \(4x\) and \(15+x\) equivalent expressions? Explain your reasoning.

Tags

CCSS.HSA.REI.A.1

Check that \(2b + b\) and \(3b\) have the same value when \(b\) is 1, 2, and 3. Do \(2b +b\) and \(3b\) have the same value for all values of \(b\)? Explain your reasoning. Are \(2b+b\) and \(3b\) equivalent expressions?

80% of \(x\) is equal to 100. Write an equation that shows the relationship of 80%, \(x\), and 100. Use your equation to find \(x\).

Tags

CCSS.6.RP.A.3C

Tags

CCSS.7.EE.B.3

Find these products. \((2.3) \cdot (1.4)\) \((1.72) \cdot (2.6)\) \((18.2) \cdot (0.2)\) \(15 \cdot (1.2)\)

Tags

CCSS.6.NS.B.3

Calculate \(141.75 \div 2.5\) using a method of your choice. Show or explain your reasoning.

Tags

CCSS.5.NBT.B.7