EMD Unit 4

Match the algebraic expressions to the situations they represent

• 4y + 2

• 24 less than double x

• 2x - 24

• Notebooks cost $5 each. How much do n notebooks cost?

• one-third as much as 18 more than g

• 5 * n

• Margie is 7 years older than Carrie. If Margie is m years old, how old is Carrie?

• m - 7

• increase the product of y and 4 by 2

Evaluate responses using AI:

OFF

Answer explanation

Adding a number to itself is the same as multiplying the number by 2.

• a + a = 2 x a

• a + b = a x b

• a(a+b) = a x a + a x b

• a + b = b + a

Answer explanation

Adding a number to itself is the same as multiplying the number by 2.

• a x b + a x c = a x (b + c)

• a x b x a x c = a x (b + c)

• a * b = b * a

• a + b x a + c = a x (b + c)

Answer explanation

This shows the distributive property.

Multiplying by a group of numbers that are added is the same as multiplying them separately (4-6 in your notebook)

Answer explanation

|p| < 0 and p - 38 = 38 + p have ​ (a)   ​ , but the equation p + 3 = 9.5 has ​ (b)  

• no solutions
• one solution
• many solutions

Match the following graphs to their inequalities

• The number is not included in the solution set

• open circle

• All numbers less than or equal to -4

• 
• the number is included in the solution set

• closed circle

• All numbers greater than 3

  t > 3

• 

• True

• False

• True

• False