Question

Crossword Puzzle

Equations - Linear Equations


- Across
2) A letter or symbol that is used to represent a number is called a _ _ _ _ _ _ _ _.
9) The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. You _ _ _ _ _ the equation.
10) If a = b, then a - c = b - c. This is the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ property of equality.
- Down
1) If a = b, then ac = bc. This is called the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ of equality. (2 words)
3) For all real numbers a, b, and c: if a=b, then a + c = b + c. This is the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ of Equality.
4) A function of the form f(x) = mx + b, where m and b are real numbers, is called a _ _ _ _ _ _ function.
5) The _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ of equality allows you to divide both sides of an equation by the same number.
6) A mathematical sentence which contains an inequality symbol and one variable raised to the first power is called a _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ inequality.
7) This is the term in a polynomial without a variable.
8) This is the number part when a number and a variable are multiplied together in a term.

Answer 1

Check Explanation

Explanation:

Across:

2. Variable

A letter or symbol that is used to represent a number is called a Variable. A variable can take on any value in the real number system.

e.g Given x=factor of 3, x=1 and x=3.

9. Solve

The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. You Solve the equation.

Given x+5=3

x=3-5=-2

We have isolated the variable x by solving the equation

10. Subtraction Property (Two words)

If a = b, then a-c=b-c. This is the Subtraction Property of equality.

e.g If 3=3

3-1=3-1 but 3-1
`\\eq`3-2

You must balance the equation

Down:

1. Multiplication Property (Two words)

If a = b, then ac = bc. This is called the Multiplication Property of equality.

Just like 10 accross above,

If 3=3, then 3X5=3X5 but 3X5
`\\eq`3X4

3. Addition Property (Two words)

If a = b, then a+c = b+c. This is called the Addition Property of equality.

Just like 1 above,

If 3=3, then 3+5=3+5 but 3+5
`\\eq`3+4

4. Linear

A function of the form f(x) = mx + b, where m and b are real numbers, is called a Linear function.

This is the slope-intercept form of the equation of a line where m is the gradient and b is the y-intercept.

5. Division Property (Two words)

The Division Property of equality allows you to divide both sides of an equation by the same number.

e.g
`(6)/(3)= (6)/(3)\: but\: (6)/(3)\\eq (6)/(4)`

6.Linear inequality. (Two words)

A mathematical sentence which contains an inequality symbol and one variable raised to the first power is called a Linear inequality.

e.g 3x+2<5

7. Constant term (Two words)

The term in a polynomial without a variable is the Constant term, In the polynomial
`x^2+5x+3`, the constant term is 3.

8. Coefficient

The number part when a number and a variable are multiplied together in a term is called the coefficient of that variable.

e.g. The coefficient of x in
`x^2+5x+3` is 5.

Answer 2

Please read the answers below that solve the crossword puzzle about linear equations. Tested and proved offline!

Explanation:

Across:

2. V a r i a b l e

9. S o l v e

10. S u b t r a c t i o n p r o p e r t y (Two words)

Down:

1. M u l t i p l i c a t i o n p r o p e r t y (Two words)

3. A d d i t i o n p r o p e r t y (Two words)

4. L i n e a r

5. D i v i s i o n p r o p e r t y (Two words)

6. L i n e a r i n e q u a l i t y (Two words)

7. C o n s t a n t t e r m (Two words)

8. C o e f f i c i e n t